The force F has a magnitude of 590 N. Express F as a vector in terms of the unit vectors i and j. Identify the x and y scalar components of F. Assume F = 590 N, 0 = 31° Answers: F = (i Fx= i L " i+ N M Mi j) N

The force F has a magnitude of 590 N. Express F as a vector in terms of the unit vectors i and j. Identify the x and y scalar components of F. Assume F = 590 N, 0 = 31° Answers: F = (i Fx= i L " i+ N M Mi j) N

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: Force Vector A = 45i kN Force Vector B = xi + yj kN Force vector B has a magnitude of 60 kN and both…

Q: The force F has a magnitude of 460 N. Express F as a vector in terms of the unit vectors i and j.…

Q: Two vectors are given by a = 5.71 +7.7ĵ and b = 2.4î + 7.8ĵ. Find (a)|à x b]. (b) à · b, (c)(a + b).…

A: Note: As per the guidelines, we can only answer three subparts of a question. Sorry for the…

Q: c. c. Find the unit vector u^in the vector F direction, if the position vector a "=3i +4j +2k. If…

A: Given:- A position vector is a→= 3i^+4j^+2k^ The force at this position is F = 2000 N Find:- Find…

Q: Dot Product, polar coordinates: If A = 8 < 21 degrees and B = 5 < 62 degrees, find А-В

A: We will first convert the polar coordinates into the cartesian coordinates. Using these coordinates…

Q: VII. Find the magnitude D + E and D- E where vector D = 31 - 4j - 2k and vector E 41-j- 2k. %3D

Q: Find a vector (v) with an initial point <-5,-5,-4> and a terminal point of <4,-10,4>.…

A: The objective of the question is to find the vector v with given initial and terminal points and…

Q: What direction does the vector b = -5.00i + 5.003 N point in?

Q: The force F has a magnitude of 650 N. Express F as a vector in terms of the unit vectors i and j.…

A: Given,F=650Nθ=21°

Q: haring gs Is F ny O A=1i+1j O A 21+3j O A 1+2j O A 21+13 Submit Provide Feedback ▬▬ Request Answer…

Q: For the cartesian coordinates shown in the figure, the product of the unit vectors a xa =a_.a y O az…

A: In the Cartesian coordinate system, Cross-products are defined as, 1) ax x ax= 0, ay x ay =0,…

Q: A force vector has a magnitude of 592 newtons and points at an angle of 45° below the positive x…

A: The magnitude of the force vector is The angle of the force F below the +x axis is

Q: Part A Determine the magnitude of the sum of the three vectors V₁ = 8.0 18.0 1, V₂ = 1 + 1, and V3 =…

Q: I. Draw a simple triangle that shows the two vectors connected. And find the resultant vector,…

A: Given: F1=15 cm, NorthF2= 9 cm, East Hence the diagram is shown below:

Q: me maghitude of vector A is 8.6. Vector lies in the fourth quadrant and forms an angle of 37 with…

Q: Given two vectors A = - 2.00 + 3.00ĵ + 4.00 k and B = 3.00 î+ 1.00 – 3.00 k, (a) find the magnitude…

A: We have to calculate the magnitude of each vector. Given Data, A→=-2.0 i^+3.0 j^+4.0 k^B→=3.0 i^+1.0…

Q: Assuming the +x-axis is horizontal to the right for the vectors in the following figure, find the…

A: a)Resolve vector A into respective x and y components as,

Q: The figure shows three vectors. Vector ?⃗ A→ has a length of 31.031.0, vector ?⃗ B→ has a length of…

A: Concept: Here, the three vectors are given. The length of each vector is, A→=31.0B→=64.0C→=22.0 The…

Q: What is the sum of the following four vectors: a. In unit vector notation b. as a magnitude and an…

A: The vectors are given as: A→=(3 m)i+(5 m)jB→=[(3 m)cos178°]i+[(3 m)sin178°]j=(−2.998 m)i+(0.1047…

Q: If the dot product of two vector A and B is negative, what statements reguarding A and B are true…

A: In this question we are given that the dot product of two vectors A and B is negative and we have to…

Q: If a vector W has components Wx--3.0 and Wy-4.0, what is the magnitude of the vector? Make sure your…

A: Given vector W has x-component wx = -3.0 And y-component wy = 4.0

Q: Two vectors A= 17 - 2j and B = 2î + 3j. Find the approximate angle between the vectors (-3A) and…

A: Given:- vector, A=i∧ -2j∧ B=2i∧+3j∧Mutliply by -3 in vector A then…

Q: (H.W) We consider the vector: A = 31 + j + 2k %3D (a) Find the length of A Ans. 14 (b) Find the…

A: Here we are using the general formulas of vector analysis

Q: Two vectors are given by d = 7.0f + 2.6 and b = 5.41 +9.7). Find (a) d x b (b) d b d + b) %3D and…

A: Given:a→ = 7.0 i^ +2.6 j^ b→ = 5.4 i^ + 9.7 j^

Q: A FCA = 500 lb 14 ft FRA 350 lb FDA 400 lb B 3 ft y 3 ft 2 ft D 3 ft3 3 ft 6 ft.

A: Solution:-Given that

Q: Consider the following 2 vectors: A =3.42 î–6.44ĵ B =2.33 î+4.26} What is the magnitude of Á × B.

Q: Find the angle between vector a and b if a 21 +j- k and b 3i - 6j + 2k

A: a→ = 2i^ + j^ - k^b→ = 3i^ - 6j^ + 2k^

Q: B. Solve for the Resultant vector ( magnitude and direction). Please draw the vectors. 1. 20 N, east…

A: Given : 1) 20 N east and 50 N west 2) 100 N north, 100 N south and 80 N west 3) 50 N at 30°…

Q: Two vectors Au and Bu are at right angles to each other. The magnitude of Au is 1. What should be…

A: Given, A=1 Resultant R=2 Angle A=90o

Q: Determine the angles made by the vector V = -60i + 44j with the positive x- and y-axes. Write the…

Q: The vector product of two vectors A and B is a vector and so has both a magnitude and direction: 1.…

Q: 6. u = 4i – j+3k v = 2i + j+k w = -i+5j+3k r = ai + ßj+ yk Evaluate the scalar products u.v and v.w.…

Q: Determine the angles made by the vector V=-491+30j with the positive x- and y-axes. Write the unit…

A: The problem is based on the concept of vectors. We have to calculate the unit vectors also. The…

Q: Consider two vectors, A = 16.1 m at 44.0°, and B = (-9.70î + 3.70ĵ) Determine the x and y components…

A: Given vector i.e. it makes an angle 44⁰ with x-axis. Remember Therefore it (vector A) can be…

Q: Given two vectors, Land D where L=275ⅈ-64j and D=161.7ⅈ+44j what is the resultant, R, of these two…

A: Resultant of a vector is given by, R=L2+D2 Substitute the given values in above equation,…

Q: Considering the usual unit vectors: i j and k Find the dot product given by C=A'B, for the following…

Q: (In questions and answers, the letters i, j and k represent the unit vectors along the directions x,…

Concept explainers

Scalars and Vectors

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

Question

The force F has a magnitude of 590 N. Express F as a vector in terms of the unit vectors i and j. Identify the x and y scalar components
of F.
Assume F = 590 N, 0 = 31°
Answers:
F = (i
Fx= i
Fy
||
IM
F
i+
N
N
Mi
IN

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

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

The angles γ1 (with the X-Axis.),γ2 (with the Y- Axis ) and γ3 (with Z- Axis) that the vector v̄ of unit 50 form with the coordinate axes are respectively: 75.0o, 60.0o and 34.3o. Find the Cartesian components of this vector and represent it in terms of unit vectors i, j and k.
solve in a detailed form
The force F has a magnitude of 470 N. Express F as a vector in terms of the unit vectors i and j. Identify the x and y scalar components of F. Assume F = 470 N, 0 = 15% j) N Answers: F = i Fx= Fy || 10 F ·x i + i N Z Z N
If ø=61.1° and C=8.78, what is the y-component of vector C?
18. True or False: a. A unit vector always has a magnitude of 1. b. A unit vector is unitless. 19. Given the vector P = 3î - 4ĵ+ 12k determine: = Unit vector along line of action of vector P, ûp= b. Direction cosine angles (degrees) for vector P, B = a. α = Y =
Find angle between two unit vectors A and B. A = 10i-3j-15k; B = 13i-5j+3k
Vector math in physics G12. Let vector B have magnitude 5m and direction 60 degrees measured anticloclwise from the positive x-axis. let vector C have the magnatude as vector A and a direction angle 25 degrees higher than A. let dot product AxB=30 square meter and BxC=35 square meters. Find the magnitude and direction of A.
Dot Product, rectangular coordinates: If A = 5 i + -8 j and B = 12 i + 18 j, find A-B
Vector A = 7.2 i + 2.6 j. Vector B = 7.5 i + 7.4 j. The magnitude of the cross product i.e. |AxB| is: :
A dog is running around the grass in your back yard. He undergoes successive displacements 20 m north then 12 m west. The resultant displacement vector is: (Consider +x axis points to the east) O a. (-12î +20 J)m Ob.(-20 î + 12 ĵ )m Oc(+20 î- 12) m Od.(+12 1- 20 ĵ m.
Given the vector V = -3 ax + 2 ay, the unit vector av is : O a. av -0.83 ax + 0.55 ay O b. av = 0.83 ax + 0.55 ay O c. av -0.8 ax + 0.6 ay
Question VIII