Answered: Consider two vectors C & D in XY-plane,…

Consider two vectors C & D in XY-plane, shown in the figure beside. If C-D-12 m and a-30, the vector C (in m) is: -6 i+10.4j O 10 i+8.3j -10.4i +6j O5.51+6.4j O 2.5i+ 8.6j

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter1: Introduction And Vectors

Section: Chapter Questions

Problem 47P

See similar textbooks

Related questions

Q: 11. Consider two vectors; A = 2.00i + 6.00j and B = 3.00i – 2.00j Calculate the magnitude and…

A: A→ = 2.00i^ + 6.00j^B→ = 3.00i^ - 2.00j^

Q: Suppose that Ã = 2i + j, B =i- 4j + k, and Č =j+k. ZÃ -B + Č? What is the magnitude of the vector A)…

A: A→ = 2i^ + j^B→ = i^ - 4j^ + k^C→ = j^ + k^

Q: 11. Consider two vectors; A = 2.00i + 6.00j and B = 3.00i – 2.00j Calculate the magnitude and…

A: A→ = 2i^ + 6j^B→ = 3i^ - 2j^

Q: If we have two vectors A = 2i + 3j, B = -i + 2j and constant c=3, which one of the following is…

Q: 11 - At point O in the figure F1 = 32i + 37j F2 = -27i + 14j F3 = -16i - 21j F4 = -12i -…

Q: Given the vectors: Ã = 100 gm @ 25° B = 200 gm @ 115° C = 175 gm @ 220° Find R = Ã+ B +Č. Vectors…

Q: 11 Given the vectors A, B and C. Find the following: A = 3t + 5j - 2k; B = −4i + 2j + 3k ; C = 5t −…

Q: 11 Given the vectors A, B and C. Find the following: A = 3i + 5j - 2k; B = −4i + 2j + 3k; C = 5i -…

Q: Calculate the components of the following vectors. A = A, + A, 5) 6) E W E 79.00 12.0 m @ 60.0 S of…

Q: Two vectors are given by, a=2i+3j-k b= -i-2j+k Find a) a.b b) axb

A: Two vectors are given by a=2i+3j-kb=-i-2j+k (a) a.b Taking dot product of a and b we get…

Q: Four vectors have the following x-components: -99, 104,56.-33. What is the x-component of the…

A: x-components of four vectors: -99, 104, 56, -33 To find: x-component of resultant vector X=?

Q: Three vectors are given by a= 6i+2j-4k, b=-2i-j+k, c=3i+2j+2k Find a) a. (bxc) b) a. (b+c) c)…

A: Given Vectors →a= L^ + 2 J^ - 4 K^ →b =-2 L^ - J^ +…

Q: Consider the vectors A = 2.0i - 4.0j + k, B = 3.0i + 4.0j + 10.0k, C = -3.0i - 4.0j, D = -3.0i +…

A: Given,A = 2.0i - 4.0j + 1kB = 3.0i + 4.0j + 10.0k C = -3.0i - 4.0jD = -3.0i + 4.0jE = -2.0i + 3.0j +…

Q: À = 2i + j, B =i- 4j + k, Ĉ = j+k. and What is the magnitude of the vector 2Ã - B + Č, A) 9.24 B)…

Q: Represent the given vectors using the indicated scale. 1. A= 55 N, North 2. B= 20 km/h, South 3. C=…

Q: Given the following vectors: Then, (A-2B)xC is: A. 9.8 B. 2.45 C. 44.4 D. 22.6 E. 3.7

A: Concept:- the magnitude of any vector A→ = xi^ + yj^ + zk^is given byA→ = x2+y2+z2

Q: Vectors A, B and C are defined as follows: A = 3.1i + 2.7j – 4.3k; B = 2.5i – 3.7j + 7.7k; C = 3.9i…

Q: Consider the two vectors, A = -4.42 i +-2.02 j and B = -1.95 i +-5.54 j. Part (a) What is the…

Q: What is the vector A= i+2j+3k B= 4i+5j+6k

A: Resultant A+B = i+2j+3k+4i+5j+6k A+B = 5i+7j+9k Magnitude of A+B = √(52+72+92) = 12.45

Q: Consider two vectors; A = 2.00i + 6.00j and B = 3.00i – 2.00j Calculate the magnitude and direction…

A: (a) First, add the vectors A and B to get their addition vector (C) and represent its x and y…

Q: What is the resultant of vector A=2i +3j, and vector B=3i -2j Select one: a. 3.5 b. 2 C. 5/2 o d.…

A: Given : Vector A = 2i + 3j Vector B = 3i - 2j

Q: . Consider the vectors shown. Which is a correct statement about A + B ? A. x-component > 0,…

A: Given data: Vector A = 8.00 m, towards negative y-axis Vector B = 15.0 m, 30° with positive y-axis…

Q: For what values of x and y, the vectors = 31+ yj-3 and 6=2xi+2xj-3are equal? A. x = 3, y = 3/2 В.х 3…

Q: Let a= and b=. What is the x-component of the vector -2a+1b?

Q: Given vectors P = 4i - 2j + 5k ; Q = -i + 3j - 6k ; find QxP. a. -3i + 19j - 10k b. -3i -19j + 10k…

Q: 11. Consider two vectors; A = 2.00i + 6.00j and B = 3.00i – 2.00j Calculate the magnitude and…

A: A→=2 i^ + 6 j^B→ = 3 i^ - 2 j^ (a) A→ +B→ =2 i^ + 6 j^ + 3 i^ - 2 j^ = 5 i^ + 4 j^ The magnitude is…

Q: These are the component forms of vectors u and w: ū u = (1, 1) w = (2, 4) Subtract the vectors. ū -…

Q: Here are three vectors in meters: á 1 = -6.60î + 8.70ĵ + 3.50k 2 = - 2.00î – 4.00ĵ + 2.00k d 3 =…

A: Given Data : The first vector is given as d1→=-6.60i^+8.70j^+3.50k^ The second vector is given as…

Q: Find the magnitude and direction angle of the given vector. A. u=(3, 8) B. u=(4, 7) C. u=(5, - 1)

A: Given:- given vector. A. u=(3, 8) B. u=(4, 7) C. u=(5, - 1) Find:- The magnitude and direction angle…

Q: The vector sum of four displacement vectors is 500 km, 30° W of N. Three of the four displacement…

A: FIRST WE FIND EACH VECTOR IN TERMS OF RECTANGULAR COMPONENTS

Q: The magnitude of vector A=2i +j +2k is?

A: Given We have to find the magnitude of the given vector

Q: When adding vectors (3,30°) + (5,120°) + (7,225°), what is the direction of the resultant? -27.93…

Q: A 4 B The sum of vectors A and B is

A: Given data: The vector A and B Required: Sum of the vector A and B

Q: F3 65° 35° F, The magnitude of the vector is F2=1.5N .What is the rectangular component of vector F2…

Q: Given two vectors that starts from the origin: A = 2i – 7j and B = I – 3j – 5k. What is the length…

A: Given, OA = 2i - 7 j OB = i - 3 j - 5 k As we know, from the rule of vector addition and…

Q: 2. Consider the vectors shown. Which is correct statement about A +B? B (15.0 m) A. x-component > 0,…

A: The addition of two vectors can be given as A+B = (AX+BX, AY+BY) Now as we can see from the figure…

Q: Eind Àx C) · (Č × B) given the following vectors: Å = 21 + 5j B = -31 – }+ 2k Ĉ = 1+ 4j 51 k B 33k…

Q: Consider two vectors; A = 2.00i + 6.00j and B = 3.00i – 2.00j Calculate the magnitude and direction…

A: Write the vector A. A=2i+6j Write the vector B. B=3i-2j

Q: Ã = 2i + j, B =i- 4j + k, and Ĉ =j+k. What is the magnitude of the vector 2Ã-B + Č, A A. 7.6 В. 5.6…

Q: For the given vectors V₁ and V₂. determine V₁ + V2. V₁ + V2. V₁-V2. V₁ V₂. V₁ V₂. Consider the…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: The vectors A= 3ax -2ay + 5az, B=4ax-6 ay + 2az, C=4ax-6ay-9az the result of C. (A- ,B) is

Q: What is the magnitude of the resultant of vector A moving 21 km/hr, north and vector B heading 12…

Q: Consider three displacement vectors A = (3x - 3ý) m, B = (- 4y) m,and C = (-2x +5) m. The magnitude…

Q: A = 41-6j and B = 21 +10 then the vector C=2Ã-B has a magnitude of: a) 7.2 b) 42 c) 23 d) 64 02: A…

Q: What is the resultant of vector A=2i +2j, and vector B=li -2j Select one: a. 3 b. V5 C. 3.5 d. 2 e.…

A: Given data: Vector A=2i→+2j → Vector B=1i→-2j→

Q: Calculate the vector C = 3A + 2B, given that vectors A = 3i + 6j and B = 4i – 4j Type in your…

Q: ssume you have the following two vectors:A:15i+16j+13k B=4.4i+6.5j-1.6k What is the x-component of…

Q: Vector A = -3.00i + 3.00j and vector B = 3.00i + 4.00j. What is vector C = A + B? a. 7.00i + 7.00j O…

Q: Consider three displacement vectors A" = (3x - 3ý ) m, B* = (x – 4ŷ ) m,and C = (-2x + 5ý ) m. 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

Consider two vectors C & D in XY-plane, shown in the figure beside. If C-D-12 m and a-30,
the vector C (in m) is:
-6 i+10.4j
O 10 i+8.3j
-10.4i +6j
O5.5i+6.4j
O 2.5i+ 8.6j

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

Vectors A and B are two orthogonal vectors in the xy -plane and they have identical magnitudes. If A=3.0 i+4.0 j , find B .
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
Suppose you add two vectors A and B . What relative direction between them produces the resultant with the greatest magnitude? What is the maximum magnitude? What relative direction between them produces the resultant with the smallest magnitude? What is the minimum magnitude?
If A + B = 0, the corresponding components of the two vectors Aand Bmust be (a) equal, (b) positive, (c) negative, (d) of opposite sign.
Obtain expressions in component from for the position vectors having the polar coordinates (a) 12.8 m, 150; (b) 3.30 cm, 60.0; and (c) 22.0 in., 215.
What is the y component of the vector (3i 8k) m/s? (a) 3 m/s (b) 8 m/s (c) 0 (d) 8 m/s (e) none of those answers
For what values of a are the vectors A = 2ai − 2j + ak and B = ai + 2aj + 2k perpendicular?
If two vectors have the same magnitude, do their components have to be the same?
Vector A has x and y components of 8.70 cm and 15.0 cm, respectively; vector B has x and y components of 13.2 cm and 6.60 cm, respectively. If AB+3C=0, what are the components of C?
For the two vectors find A − B and |A – B| component of B along A angle between A and B A × B (A − B) × (A + B)
Vector B has x, y, and z components of 4.00, 6.00, and 3.00 units, respectively. Calculate (a) the magnitude of B and (b) the angle that B makes with each coordinate axis.