Answered: 8. LO 4: Find the magnitude and angle…

8. LO 4: Find the magnitude and angle with respect to the positive x-axis of the vectors whose components are: (a) (-2,3) (b) (5,-9) (c) (-1,-1) (d) (4,5)

Physics for Scientists and Engineers with Modern Physics

10th Edition

ISBN:9781337553292

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter3: Vectors

Section: Chapter Questions

Problem 20P: Given the displacement vectors A=(3i4j+4k)m and B=(2i+3j7k)m, find the magnitudes of the following...

See similar textbooks

Related questions

Q: A = 3i + 4j - 5k and B = -2j + k. a) | 2A - B | b) Vectors A and B What is the angle between?

A: Given: The vector A is 3i^+4j^-5k^. The vector B is -2j^+k. To Find: (a) 2A→-B→ (b) Angle between…

Q: Given vector A = and vector B = , what is A dot B?

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: A body is moving toward x direction with the velocity V = (a-b-t)(c-d-t). where t is the time,…

Q: Two vectors are given by (A= 3i+A, j) and (B= 2i+4j). if the angle between them is 90° , then the…

A: Here the given angle is 90°

Q: Q2- If a = 2 i-j+ 2 k and b = 4 i- 3 k, find the magnitudes of a and b and the angle between them.

A: Given : a = 2i-j+2k b = 4i-3k

Q: b) Draw direction vectors in unit cells for the following cubic directions: i) (241) ii) (3 I 3)…

A: i For 2 4 1 the intercepts is a b c=12 -14 -1 ii For 3 1 3 the intercepts is a b c=13…

Q: 1. Given the vectors M = -10ax + 4ay - 8az and N = 8ax + 7ay – 2az , find: a) a unit vector in the…

Q: Q1) given vectors (A = 4ax – 2a, + 2a,), (B = –6ax + 3a, - 3a,), and (C = ax + 3a, + az), find (i)…

A: A→ = 4ax - 2ay + 2azB→ = -6ax + 3ay - 3 azC→ = ax + 3ay + azMagnitude of A→ = (4)2 +(-2)2 + (2)2|A|…

Q: The components of two vectors are A = -2.0, Ay = -5.0, Az Find the angle between them: -4.6, B, 4.2,…

Q: Given vector A = and vector B = , what is A dot B?

Q: Find the magnitude of axb if a = 2i +j+3Å and b=3i +5j - 2k.

Q: Given vector A = and vector B = , what is A dot B?

A: Given A = <10, 20, 18> B = <16, -17, -24>

Q: 1. Consider two vectors Á = (2î + j) , and B = (-î+ 5j). Find the following: %3D a) 2Å – B. b) The…

Q: Find the angle between the two vectors: A = 10î + 5ĵ - 3k and B = 5î + 2j + k

A: GivenA→=10 i^+5 j^-3 k^B→=5 i^+2 j^+ k^

Q: Two vectors and are given by A=5i+6j+7k and B= 3i-8j+2k. If these two vectors are drawn starting at…

Q: Q(2) Consider the two vectors A= 31 – 2j and B = 2i – 3j. Calculate the angle between the two…

A: Given the two vectors A= 3i - 2j and B = 2i - 3j. We have to find out the angle between the two…

Q: The angle made by the two vectors 3 = 3î + 43 +5k and M = 31 +47 +5k j A) 90 B) No Answer c) 180 45

Q: 4. Four vectors A, B, C, and D, all have the same magnitude. The angle between adjacent vectors is…

Q: Given the vectors i =(- 3, 7, 4] and y = [- 6, 0, 8], determine b) proj š. a) The angle between i…

Q: 2. For the two vectors Ả = î − 5ĵ + 3Â and B = 3î + 2ĵ — Ê, find a) Ả · A.B, b) A × B, c) Ả + B, and…

Q: (a) What is the centripetal acceleration of the child? magnitude m/s² direction (b) What force…

Q: vector a = , vector b = what is the value of vectors a*b. what is the angle between vector a…

Q: The angle made by the two vectors S = 37 + 4) + 5k and M = 31 + 4) +5k 15: A 0 в) 90 C 45 D 180 E)…

A: Given The vectors are given as S→=3 i^+4 j^+5k^ and M→=3 i^+4 j^+5k^ We have to find the angle…

Q: Given two vectors A = 2ax + 4ay 10az , B = - $ ap + ap - 3az, and point P(0,2, - 5 ) The angle…

A: Given two vectors A-2ax +4ay +10az and B-5 ap+ad-3az, and point p -(0,2,-5) The angle between A and…

Q: 4. Four vectors A, B, C, and D, all have the same magnitude. The angle between adjacent vectors is…

A: Let the magnitude of each vector = Y A→ = Yj^B→ = Y× (cos45oi^ + sin45oj^)B→ = 0.7Y i^ + 0.7Y j^C→ =…

Q: Given the vectors A = 2.00i + 6.00j and B = 3.00i 2.00j, (a) draw the vector sum C = A + B and the…

Q: Determine the angle between the vectors A = (4.00, 2.00, 5.00) cm and B = (4.50, 4.00, 3.00) cm

A: Given data The vector A is represented as: A→=4 i^+2 j^ + 5 k^ The vector B is represented as:…

Q: Two vectors are given by the following: A= 3i + 4j B = -1i + 2j 1.) Find A x B (cross product) in…

Question

8. LO 4: Find the magnitude and angle with respect to the positive x-axis of the vectors whose
components are:
(a) (-2,3)
(b) (5,-9)
(c) (-1,-1)
(d) (4,5)

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: (a) The magnitude and direction of the vector a.

VIEW

Step 2: (b) The magnitude and direction of vector b.

VIEW

Step 3: (c) The magnitude and direction of vector c.

VIEW

Step 4: (d) The magnitude and direction of vector d.

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 12 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

Find the angle between vectors for (a) D=(-3.0i-4.0j)m and A=(-3.0i+4.0j)m and (b) D=(2.0i+4.0j+K)m and B=(-2.0i+3.0j+2.0K)m .
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)
Let us name three perpendicular directions as right, up, and toward you as you might name them when you are facing a television screen that lies in a vertical plane. Unit vectors for these directions are r, u, and t, respectively. Consider the quantity (3u2t). (i) Is the magnitude of this vector (a) 6, (b) 3, (c) 2, or (d) 0? (ii) Is the direction of this vector (a) down, (b) toward you, (c) up, (d) away from you, or (e) left?
In Problem 50, what is the tangent of the angle for which 5.00 in is the opposite side?
The polar coordinates of a point are r = 5.50 m and = 240. What are the Cartesian coordinates of this point?
Lei B = 5.00 m at 60.0. Let the vector C have the same magnitude as A and a direction angle greater than that of A by 25.0. Let A B = 30.0 m2 and B C = 35.0 m2. Find the magnitude and direction of A.
For what values of a are the vectors A = 2ai − 2j + ak and B = ai + 2aj + 2k perpendicular?
At one point in space, the direction of the electric field vector Is given In the Cartesian system by the unit vector . If the magnitude of the electric field vector is E=400.0V/m , what are the scalar components , and of the electric field vector at this point? What is the direction angle of the electric field vector at this point?
Find the scalar components of three-dimensional vectors G and H in the following figure and write the vectors in vector component form in terms of the unit vectors of the axes.
Let us name three perpendicular directions as right, up, and toward you as you might name them when you are facing a television screen that lies in a vertical plane. Unit vectors for these directions are r. u. and L respectively. Consider the quantity (-3 2t ). (i) Is the magnitude of this vector (a) 6, (b) 3, (c) 2, or (d) 0? (ii) Is the direction of this vector (a) down, (b) toward you, (c) up, (d) away from you, or (e) left?
Find the magnitude of axb if a = 2i +j+3k b = 3i +5j - 2k. 6- Find the angle between the vectors 2i+ j-k and i+2j+k using vector product. 7- Find a.b when 1) a = i -2) +k and b = 31 -4) - 2k (ii) a = 2i +2j-k and b=6i-3j+ 2k (i) Find the magnitude of axb if. a = 2i +j +3k and b=3i +5j- 28. 8- Find the area of the parallelogram whose two adjacent sides are determined by the veetors 9- î +2 +3kand 3î -2) + k. 10- If the projection of Si-j-3k^ on the vectori + 3j + Ak is same as the projection of i" + 3 j° + Ak° on 5i* -j-3k°, find 2? Consider the magnetic force gi ven as : F = q (v x B) Given q = 10- 6 C, v = (3i + 4j) m/s, B = li Tesla. Find the magnetic force. 11- If a.b = jaxb| for unit vectors a and b, then find the angle between unit vectors.
Two vectors are given by the following: A= 3i + 4j B = -1i + 2j 1.) Find A x B (cross product) in terms of k 2.) FInd the angle between A and B