1. Vector A = 125 cm, 30 deg North of East, B = 75 cm, 45 deg North of West, and %3D C = 95 cm, 60 deg South of West. What is the magnitude and direction of the %3D resultant of three vectors R = A + B +C ?

1. Vector A = 125 cm, 30 deg North of East, B = 75 cm, 45 deg North of West, and %3D C = 95 cm, 60 deg South of West. What is the magnitude and direction of the %3D resultant of three vectors R = A + B +C ?

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter3: Vectors

Section: Chapter Questions

Problem 3.56AP: The rectangle shown in Figure P3.56 has sides parallel to the x and y axes. The position vectors of...

See similar textbooks

Related questions

Q: Find the x- and y-components of the following displacements in the xy-plane: a) 300 cm at 127o and…

A: Given that,⇒ OA =300 cm at an angle 127° ⇒ OB =500 cm at an angle…

Q: DATE: 1)A vector has a magnitute of sC $ is in quadvant I wf on angle 10.1° w/ respect to the ty-…

A: For part (i) Take cross product of 2A and B and solve for along y axis. (ii) Component along y axis…

Q: After slapping the burglar in the Tondo, Rodrigo ran to a nearby hut which is s = (300+) meters from…

A: s = 1.25t-0.35 - 3t3cos(-5t)+0.25t4e0.5tDistance of hut = 300+274100

Q: Determine the magnitude and direction of 2D - E given D = 3i – 6j and E = 0i + 2j. %3D

A: The multiplication of scaler with vector is defined as mA→=m(ai^+bj^+ck^)=mai^+mbj^+mck^ Here m is…

Q: 6. A projectile starting from ground hits a target on the ground located at a distance of 1500…

Q: Sketch the following 3D vectors A = 3î + 5ĵ – 4k and B = 6î – 7ĵ – 5k

Q: 1.) Transform each of the following vectors to cylindrical coordinates at the point specified. a) A…

Q: Assume the sides of the hexagon shown in the figure below are all 6.00 cm long. 91 = +1 mC 92 = +2…

A: electric field is the space around the charge in which electrostatic force of attraction or…

Q: Let A = (25 m)i + (45 m)/ and B = (-25 m)ỉ + (45 m)j . The angle between these two vectors is: A)…

Q: Q2: Show that (A, Ay, A) are related to (Ap, A,Az) using the following matrix: cos o -sin o 0 Ao A…

A: Ques: SHOW THAT

Q: 2) IF A = ax + 3az and B find AB. 5ax + 2ay -692, %31 %3D

Q: Problem #1: For vectors A = -5i+j and B = 31-21, calculate %3D (a) A+B and its magnitude and…

Q: 52. A shot is fixed at an angle a to the horizontal up an inclined plane of inclination B. It will…

A: 52) Refer to the figure below : It is given that the shot strikes the plane horizontally at point…

Q: A room has dimensions 2.44 m (height) × 5.76 m × 6.24 m. A fly starting at one corner flies around,…

A: Given, A room has dimension, 2.44 m×5.76 m× 6.24m

Q: A plane intersects the a1,a2 and a3 axes at .5 -3, 0,and 2, its Miller indices are (а. (-3 02 О (b.…

A: Steps to calculate the Miller indices: Determine the intercepts of the face along the…

Q: A fly lands on one wall of a room. The lower-left corner of the wall is selected as the origin of a…

A: a) OP =(1.95)2+(1.10)2 =3.8025+1.21 =5.0125 = 2.238mdistance from…

Q: D= B-A NOTE A = 3 B = 3 Angle between A and B = 60° Please solve and no reject thank u this…

Q: Two 3D vectors are given d = 4i – 3j + 1k 3 =-li + lj + 4k Find (a) 글 + 7 (b) 값-ㅎ (c) if R-27 +37 =…

A: a. a→+b→=4i^-3j^+1k^+-1i^+1j^+4k^=3i^-2j^+5k^

Q: F, : 2,15 F =2.45 @ 120 Fr -1.8 F=1.96 @ 200° 126 200 F2= 1.96

A: Given: The force F1 is 2.45. The angle is 120 degrees. The force F2 is 1.96. The angle is 200…

Q: • Mr. Muscedere is walking to Mr. Timm's house. He takes a short cut across an open field. His first…

Q: In the figure given below, with F1 = 60j + 80k and F2= 50i -100j + 100k, what is the %3D value of B?…

Q: What is the magniteude of T2 in the given figure? The magnitude of the resultant is 350ON. What is…

Q: away at the rate of 48 fusec a. What is the rate of change of the height of the top of the ladder?…

A: Given:- L= 25 ft Vx = d(x(t))/dt = 48 ft/sec at x= 7 ft

Q: Given the two displacement D = (6.00î + 3.00ĵ-1.00k̂)m E = (4.00î - 5.00ĵ+8.00k̂) Find the…

A: Vector 2D-E

Q: construct the parallelogram law to show FR=F1 + F2. Then establish the triangle rule, where FR=F1 +…

Q: Let's Appraise a. E = 3.4 x 1023 N/C A=2.3 x 10-2m2 e = 84° %3D b. E = 8.2 x 10 N/C A 6.1 x 10-7m2…

Q: The curves 71(t) = (4t, tº, 2t“) and ř2(t) = (sin(4t), sin(5t), t – m) intersect at the origin. %3D…

Q: Given the two vectors: A =(3i -5j) and B = (4i +4j) %3D %3D The smallest angle enclosed (6gs)…

A: we have given 2 vectors. vector A→ &vector B→A→ =3i^-5j^ & B→=4i^-4j^ let 'θ' be the…

Q: 5/11 Determine the coordinates of the centroid of the shaded area. Ans. i 1.443, j = 0.361k %3D y xy…

Q: Suppose the vectors i,j,pand q are all unit vectors and the angle 0 = 225'. Find the cartesian…

Q: When a man stands near the edge of an empty drainage ditch of depth 2.80 m, he can barely see the…

A: Given information: The depth of the drainage (a) = 2.80 m The height of the person (h) = 1.88 m The…

Q: Match the vector to its description. The vectors are given by their components in 3D space, that is…

A: According to question we need to Match the vector to its description.

Q: Two vectors A= 11-2j and B = 21 +3j.Find the approximate angle between the vectors (-3A) and (2B)?…

A: Solution: Given that A =i-5j B = 2i+3j to find the angle between -3A and 2B

Q: If ū = (7, –6, 0) and i = (1, 1,0), find the length and direction of ủ x ủ and i xu. %3D Length of u…

Q: ogle.com/forms/d/e/1FAlpQLSe9KQMIOEqrZGIMqioQwyJ-QV8lvs2Ch1cnK8C6dsnp6vyjcg/viewform?pli=1 2 points…

A: The scalar product of two vectors is given by A→ . B→ = A B cosθ where, θ is the angle between the…

Q: A room has dimensions 2.71 m (height) × 4.05 m × 6.99 m. A fly starting at one corner flies around,…

Q: Part I Representing Vectors 1 Force: 20 N South {Scale:1cm=5N} 2. Displacement: 8m West {Scale: 1…

Q: 2 points you have the matrix 30 1 A = |-1 2 0 3 1 2 Very specific inverted? 0.2 0.8 0.4 0.6

A: The matrix which is specifically invert is called inversion of matrix.

Q: Calculate the divergences of cach of the following vectors: (a) v = 3k (b) ở = r (c) v = (4xz + y²)…

A: Since you have posted multiple questions, according to company policy we will answer only the 1st…

Q: The following problems are in 2D. That should make the strictly easier, but it can be tricky to see…

A: Solution:

Q: Vector A has x and y components of -7.8cm and 13cm respectively ( A_{x} = - 7.8cm . . A_{y} = 13cm…

Q: Vector A has xand y components of -8.70 cm and 15.0 cm, respectively; vector B has x and y…

A: Given The x component of the A→ is Ax=-8.70i^ cm. The y component of the A→ is Ay=15j^ cm. The x…

Q: 3. What are the horizontal and vertical components of the following vector displacetnents? a) 2m at…

Q: 2. An explorer in the dense jungles of equatorial Africa leaves her hut. She takes 80 steps 45°…

Q: construct the parallelogram law to show FR=F1 + F2. Then establish the triangle rule, where…

A: Parallelogram law of vectors: When the two vectors are represented by the adjacent sides of the…

Concept explainers

Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.

Question

Show your solution

1. Vector A = 125 cm, 30 deg North of East, B = 75 cm, 45 deg North of West, and
%3D
C = 95 cm, 60 deg South of West. What is the magnitude and direction of the
resultant of three vectors R = A + B + C?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

If two vectors are equal, what can you say about their components? What can you say about their magnitudes? What can you say about their directions?
The same vectors that are shown in Figure P3.6 are shown in Figure P3.42. The magnitudes are F1 = 1.90f, F2 = f, and F3 = 1.4f, where f is a constant. a. Use the coordinate system shown in Figure P3.42 to find R=F1+F2+F3 in component form in terms of f. b. If Rx = 0.33, what is Ry? c. Check your result by comparing your answer to that of Problem 6. FIGURE P3.42
The rectangle shown in Figure P3.56 has sides parallel to the x and y axes. The position vectors of two corners are = 10.0 m at 50.0 and = 12.0 m at 30.0. (a) Find the perimeter of the rectangle. (b) Find the magnitude and direction of the vector from the origin to the upper-right corner of the rectangle.
Question: Three displacement vectors of a croquet ball are shown in Figure where A-20 units, B = 40 units and C displacement? = 20 units. Find the magnitude and direction of the resultant %3D 45.0 45.0 A. NE, 56.4 units, 28° B. SE, 41 units, -280 C. EW, 80.35 units, 36° D. SW, 10 umits, 45° E. NW. 10 umits, -45°
1. Three vectors are given by, R = 2î + 3j – 6k, R2 = 21 – mj – 8k and R3 = nî + 4.5j – 9k Explain why R, & R2 are not parallel to each other. R || R3 & 2|R2 x R3| = [R, . (R2 × R3 )] + v58.8n, calculate the value of m. Calculate the angles that the vector (R, – R2) makes with î, ĵ & k axis. (b)
Question: The polar coordinates of a point are 50m and . Then, what are its Cartesian coordinates? A. 2.75i+ 4.763j m, B. -2.75i- 4.763j m, C. 2.75i - 4.763j m, D. 4.763j m, E. -2.75i + 4.763j m,
Vector A has a magnitude 5.00 and points in a direction 40.0 degrees clockwise from the negative y-axis. What are the x- and y-components of vector A. O a. Ax = 4.29 and Ay = 2.16 O b. Ax = 3.83 and Ay = 3.21 c. Ax = -3.21 and Ay = 3.83 O d. Ax = 3.83 and Ay = -3.21 O e. Ax = -3.21 and Ay = -3.83
Let's consider two vectors, A = (-7, 10), B = (-5, -8), and C = (-1, 6) as shown below. A C B What is the magnitude of A+ B+ C? Answer What is the direction (8) of A+B+C relative to +x-axis? a-839 b. 20 C-85 3 d. 148°
Two vectors A= 1î - 2j and B = 2î + 3j. Find the approximate angle between the vectors (-3A) and (2B)? O A. 60° О В. 30° ОС. 75° O D. None O E. 120°
a.) Vector A has a magnitude of 6.0 m and points 30° north of east. Vector B⃗ has a magnitude of 4.0 m and points 30° east of north. What is the magnitude of the sum, A +B? b.) What is the direction of the sum A +B, measured counterclockwise from east?
What is the angle between vectors A and B if A = 2i + 2j - k and B = 5i -3j + 2k? a. 84° b. 57° c. 87° d. 56°
2. Two vectors A and B with the magnitude 750 N and 900 N respectively, which create some angles with the Cartesian coordinate as shown in the Figure-1. Consider the unit vectors ê, ê2 and êz for the +x, +y and +z axis, respectively. В А 35° 65°. 25° 20° Figure-1 а. Express the vectors A and B in terms of unit vectors ê,, ê, and êz. b. Calculate the resultant vector R = A+B.