Answered: (a) Write a note on vector product or…

(a) Write a note on vector product or cross product with its characteristics. (b) Find the cross product of two vectors A and B and also angle between them. A= 3i+1j-2k B= 1i-3j+4k

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 24CQ: What is the dot product of a vector with the cross product that this vector has with another vector?

See similar textbooks

Related questions

Q: 9. Vector A has a magnitude of 9.0 and Vector B has a magnitude of 3.0. If the vectors are at an…

Q: Two vectors are given by A = 3 î + 4 j andB = -1 î + 2 j. (a) Find A x B. (b) Find the angle between…

Q: The cross product A x B of the two vectors A = 2i + 3j and B = i- 2j is * A ) -7 k D -4 k D -k D 4 k

Q: 8. Find the vector product of two vectors A| = 50 and B| = 20, with an angle %3D between them is…

A: Vector product is defined as- A*B = |A| |B|sin(theta) A*B = 50*20*sin(45)

Q: Two vectors have the following magnitude, A = 9.7 m and B = 14.6 m. Their vector product is: AXB =…

Q: 5. Given two vectors: A = 51-2j+2k ft and B = -3i+2j+ 4k ft. Calculate the following: (a) the cross…

Q: Vector A has magnitude 43.66 m and vector B has magnitude 76.65 m. The magnitude of the cross…

A: Using formula for dot and cross product we can get the answer

Q: The scalar product of two vectors, A and B, is –7.5. If vector A is given by (3i - 4j) and the…

A: Given : Scalar product (A . B) = -7.5 Magnitude of Vector B ( |B| ) = 4.0 Finding the Magnitude of…

Q: Two vectors in Cartesian coordinates have components A= (2,2,3) and B=(-4,-1,7). What is the dot…

A: given A=2,2,3 B=-4,-1,7 Dot product of vector A with vector B=?

Q: You are given the following two vectors: a = j + 2k, b = 2i - j 1. Calculate the scalar product…

Q: You are given 3 vectors: p = j - 3k, q = -2i - j - 3k and r = 4i + j + 3k. You are informed that…

Q: When is the magnitude of the vector product of two vectors the largest? When the two vectors are…

A: Solution:- Correct options is When the two vector s are perpendicular

Q: Two vectors have the following magnitude, A = 12.8 m and B = 7.1 m. Their vector product is: A⨯B =…

A: |A⨯B|=x2+y2 =-3.4 m2+11.7 m2 =12.2 m

Q: Vector u = <-7,3,-5> and vector v = <-1,1,0>. Find the cross product of u X v.

Q: Vecrors of length 10 and 15 have a Cross product of 150 if i add those vectors, what is the length…

A: The dot product of the two vectors is,

Q: Given three vectors A = -78 +93 – 4k,B = -6î + 33 + 12k and C = 152 – 47 + 7k which of the following…

Q: If you had two vectors a = 2z(hat) and b = x(hat) + 2y(hat) + 3z(hat). What would the addition of…

Q: wo vectors have the following magnitude, A = 13.2 m and B = 11.7 m. Their vector product is: A⨯B =…

A: Given: A=13.2 mB=11.7 m A×B=-4 mi+9.3 mk

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

Q: Both vectors A and B have a magnitude of 45.7. Find the scalar product of the two vectors if a =…

A: Given data The magnitude of both the vectors A and B is 45.7. The angle between the two vectors is α…

Q: Two vectors have the following magnitude, A = 10.5 m and B = 10.1 m. Their vector product is:…

A: Data provided: Magnitude of vectors A = 10.5 m and B = 10.1 m A⨯B = -4.6 m i + 7.6 m k.

Q: Vector has magnitude 12.0m, and vector has magnitude 12.0m. The scalar product is 76.0m2. What is…

A: Vector has magnitude 12.0m, and vector has magnitude 12.0m. The scalar product is 76.0m2.

Q: Let vector a = and vector b = . The the cross product of vector a and b.

Q: Given the pair of vectors, A = (9.0oî – 2.00ĵ ) and B = (-2.00î + 7.0oj ), use the definition of a…

A: A→ = (9i^ - 2j^) B→ = (-2i^ + 7j^)

Q: The magnitude of the cross product between two vectors, one of which has magnitude 2 and another has…

Q: 6 units and is in the direction of +x-axis. Vector B has a magnitude 4 units and lies in the…

A: Given:- Vector B lies in x-y plane at an angle 30°with x-axis To find:- Formula used:-

Q: Vector A = 5.1 i + 4.9 j. Vector B = 6.9 i + 3.7 j. The dot product of the two is C = A ∙ B (i.e. A…

A: Given that: A = 5.1 i + 4.9 j B = 6.9 i + 3.7 j To determine: C = A ∙ B

Q: Find the vector product (a X b) of the two given vectors: a = 2i + 3j + 4k, b = 3i + 5j. Here, i, j…

Q: Vector ?⃗has a magnitude of 75.0cm and points at 30° above the positive x-axis. Vector?⃗⃗has a…

A: Given data Vector A is A=(75.0 cm)cos30o i+(75.0 cm) sin30o j ==(64.95 cm)…

Q: The vector product of vectors A and B has magnitude 20.0 m² and is in the+z-direction. Vector A has…

A: The vector form of the vector A can be given as, The vector form of the product of the vectors A…

Q: A vector a of magnitude 14 units and another vector b of magnitude 4.2 units differ in directions by…

Q: Vector A has a magnitude of 9.0 and Vector B has a magnitude of 3.0. If the vectors are at an angle…

A: Given data: Magnitude of vector A A = 9.0 Magnitude of vector B B = 3.0 Angle between vectors (θ) =…

Q: 8) A vector ä of magnitude 10.0 units and another vector b of magnitude 6.00 units differ in…

A: Given data: a = 10.0 units b = 6.00 units Angle between vector a and b (θ) = 60.0°

Q: Two vectors have the following magnitude, A = 14.1 m and B = 7.9 m. Their vector product is: AxB =…

Q: Two vectors A and B have magnitude A=3.00 and B=3.00. Their vector product is AxB= -5.00k + 2.00i.…

A: Magnitude of A , |A| = 3 Magnitude of B, |B| = 3 Vector product , A x B = -5k + 2i To find = angle…

Q: Two vectors have the following magnitude, A = 8.3 m and B = 10.5 m. Their vector product is: A⨯B =…

Q: Vector A = 4.5 i+ 3.2 j. Vector B = 4.5 i + 4.2 j. The dot product of the two %3D is C = A•B (i.e. A…

A: Consider the vectors are:

Q: A vector and has a magnitude of 7 units, and has a magnitude of 5 units, and the cross product of…

A: The physical quantity which has both magnitude and direction is considered as vector, otherwise…

Q: 2. (a) Find the magnitude of the vector −2î + ĵ + 2k̂). (b) Find the magnitude of the vector 3î−…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: Using the definition of dot product: Ax B= (A,B₂ - A₂B₂)i + (A₂B₂ − AxB₂)j + (AxBy - AyBx)k Find the…

Q: 6. Vector A has a magnitude of 5.00 units, and vector B has a magnitude of 9.00 units. The two…

Q: Vector u = <-7,3,-5> and vector v = <-1,1,0>. Find the cross product of 9(u X v)

Question

(a) Write a note on vector product or cross product with its characteristics. (b) Find the cross product of two vectors A and B and also angle between them. A= 3i+1j-2k B= 1i-3j+4k

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 3

VIEW

Step by step

Solved in 3 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

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 .
Find the angles that vector makes with the and axes.
The polar coordinates of a point are r = 5.50 m and = 240. What are the Cartesian coordinates of this point?
Show that when A+B=C then A2+B2+2ABcos , where is the angle between vectors A and B .
Vector B is 5.0 cm long and vector A is 4.0 cm long. Find the angle between these two vectors when |A+B|=3.0cm and |AB|=3.0cm .
What is the dot product of a vector with the cross product that this vector has with another vector?
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.
Vector A =5i+2j and vector B =2i−3j+4k. a) What is the cross product A⃗ ×B⃗ ? Find the x-component. b)Find the y-component. c)Find the z-component.
The vector product of vectors A and B has magnitude 20.0 m² and is in the+z-direction. Vector A has magnitude 8.0 m and is in the -z-direction. Vector B has no z-component What is the direction angle 0 of vector B measured from the +y-direction to the +z-direction?
A vector and has a magnitude of 7 units, and has a magnitude of 5 units, and the cross product of and has a magnitude of 14 units. Find the angle between and .
Question VII
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.