Answered: The angle between two vectors is θ. For…

Name: The angle between two vectors is θ. For what value (or values) of θ ar
Uploaded: 2024-03-20T06:57:25.000Z
Channel: Bartleby
Description: The angle between two vectors is θ. For what value (or values) of θ are the magnitudes of the scalar product and the vector product equal?

Science

Physics

The angle between two vectors is θ. For what value (or values) of θ are the magnitudes of the scalar product and the vector product equal?

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

Chapter6: Energy Of A System

Section: Chapter Questions

Problem 4CQ: (a) For what values of the angle between two vectors is their scalar product positive? (b) For what...

See similar textbooks

Related questions

Q: Two vectors A and B are given by A=4i+8j B= 6i-2j find their scalar product A.B .find cosine of the…

Q: In this problem we are going to consider two different examples of the dot product between two…

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: You are given vectors A = 5.0 i – 6.5 j and B = -3.5 i + 7.0 j . A third vector C lies in the…

Q: The vectors k and in the figure have a magnitude of 10.00 [m-¹] and 5.00 [m], respectively. The…

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

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

Q: Compute the dot product of the vectors v and w, and find the angle between the vectors. v=−10i−j…

A: Given: v→=-10i^-j^w→=-i^-10j^ Required: The dot product between the vectors and the angle between…

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: The dot product of two vectors M and N is 67.4. What is the magnitude of Mcif N=5.5 and the angle…

Q: wo vectors have the following magnitude, A = 14.8 m and B = 14.5 m. Their vector product is: A⨯B =…

A: A⇀×B⇀=x2+y2+z2=-1.1 m2+0 m2+9.7 m2=9.8 m The equation to find the angle between vectors.…

Q: Vectors A and B have scalar product -8.00 and their vector product has magnitude 5.00 what is the…

Q: What is the angle between two unit vectors if their dot product is 0.5?

Q: The dot product of two vectors M with rightwards arrow on top and N with rightwards arrow on top is…

A: Dot product of vectors M and N is 73.5 Magnitude of vector N is 5.7 Angle between M and N is, theta…

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

Q: Find the scalar product between the vectors ? = 5?̂ + 6?̂ + 1? y ? = −3?̂ + 4?̂ − 8?. What is the…

A: Let A,B are vectors A= 5i + 6j + k B= -3i + 4j - 8k

Q: The dot product of two vectors M and N is 74.7. What is the magnitude M if N = 9.5 and the angle…

Q: Vectors A and B have scalar product -7.00, and their vector product has magnitude +9.00. What is the…

A: Express the scalar product of vectors A and B. A·B=ABcosθ-7.00=ABcosθ ---1 Here, θ is the angle…

Q: Using only the dot product, find the angle θ between the two vectors A = 2i + 6j and B = -3i + 2j

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

Q: With the given three vector A, B, C. Determine the magnitude of the dot product of vectors AxC and…

Q: Two vectors have a magnitude of 3 and 2 and their dot product has a value of -5. Which of the…

Q: Two vectors have a dot product of 7 m² and a cross product of magnitude 4.95 m². What is the angle…

A: Let A and B are the two vectors.

Q: The angle between two vectors is u. (a) If u = 30.0o, which has the greater magnitude: the scalar…

A: Let the vectors are A and B. And u is the angle between them a) If u = 30o, then scalar product…

Q: Vector A = 3 i + 3.8 j. Vector B = 5.1 i - 7.5 j. The dot product of the two is C = A ∙ B (i.e. A…

Q: Determine the dot or scalar product of the pairs of vectors shown in the figures. The magnitudes of…

A: Given --- A = 3 B = 7 C = 3 And angle are given in figure. Find A.B and A.D

Q: The dot product of two vectors and M N is 77. What is the magnitude M if N = 7.9 and the angle…

A: Given data: Dot product of vector M and N = 77 Magnitude of vector N = 7.9 Angle between vectors (θ)…

Topic Video

Question

The angle between two vectors is θ. For what value (or values) of θ are the magnitudes of
the scalar product and the vector product equal?

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

Introduction

VIEW

Calculation

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

Which of the following statements is true about the relationship between the dot product of two vectors and the product of the magnitudes of the vectors? (a) AB is larger than AB. (b) AB is smaller than AB. (c) AB could be larger or smaller than AB, depending on the angle between the vectors. (d) AB could be equal to AB.
Show that when A+B=C then A2+B2+2ABcos , where is the angle between vectors A and B .
(a) For what values of the angle between two vectors is their scalar product positive? (b) For what values of is their scalar product negative?
Vector has magnitude 12.0m, and vector has magnitude 12.0m. The scalar product is 76.0m2. What is the magnitude of the vector product between these two vectors?
The dot product of two vectors M with rightwards arrow on top and N with rightwards arrow on top is 73.5. What is the magnitude M if N = 5.7 and the angle between the two vectors is 25 degrees?
With the given three vector A, B, C. Determine the magnitude of the dot product of vectors AxC and CxB A= 2i - 3j + 4k B= -3i - 6j + 5k C= 4i + 2j
You are given 3 vectors: p = j - 3k, q = -2i - j - 3k and r = 4i + j + 3k. You are informed that these three vectors are Cartesian unit vectors.What is the vector product of q x r?
You are given 3 vectors: p = j - 3k, q = -2i - j - 3k and r = 4i + j + 3k. You are informed that these three vectors are Cartesian unit vectors. To answer this question, use the following vector form: a1i + a2j + a3k Write down the sum of the vectors s = p + q + r And then calculate the scaler product of s x r
Find the scalar product between the vectors ? = 5?̂ + 6?̂ + 1? y ? = −3?̂ + 4?̂ − 8?. What is the angle between these two vectors?
Two vectors have a magnitude of 3 and 2 and their dot product has a value of -5. Which of the following is the angle between the two vectors? O 146.44 degrees O None of the given choices. O 33.6 degrees O 99.6 degrees O -56.4 degrees
The angle between two vectors is u. (a) If u = 30.0o, which has the greater magnitude: the scalar product or the vector product of the two vectors? (b) For what value (or values) of u are the magnitudes of the scalar product and the vector product equal?
wo vectors have the following magnitude, A = 14.8 m and B = 14.5 m. Their vector product is: A⨯B = -1.1 m i + 9.7 m k. What is the angle (in degrees) between the vectors A and B? Hint: Use |A⨯B| = AB sin(θ) Note: Bold face letters represents a vector.