University Physics with Modern Physics, Volume 2 (Chs. 21-37); Mastering Physics with Pearson eText -- ValuePack Access Card (14th Edition)
14th Edition
ISBN: 9780134265414
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Chapter 1, Problem 1.44E
Find the vector product
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Find the vector product or cross product(A x B) of the given vectors: A = 50 units, 35degrees W of S and B = 25 units, 42 degrees S of E.
The vector product of two vectors A and B is a vector and so has both a magnitude and direction:
1. Magnitude: The magnitude of the vector product Ax Bis:
||A × B|| = |A|| ||B|| sin e = AB₁ = A₁B
where is the angle between the vectors. Here B₁ = B sin 6 is the component of B
perpendicular to A while A₁ = A sine is the component of A perpendicular to B.
Special Cases: Give answers to questions below in terms of the magnitudes A and B.
What is Ax B if A and Bare parallel?
If A and Bare perpendicular?
2. Direction: The direction of the vector product Ax B is perpendicular to the plane determined by the vectors A
and B, and follows a "right hand rule". This "right hand rule" is different from the one we used to determine
angular velocity. The steps to determining the direction of the vector product are
a. Determine the two possible directions: First determine the only two possible directions that are perpendicular
to both A and B. The vector product must be in one of these two directions.…
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: :
Chapter 1 Solutions
University Physics with Modern Physics, Volume 2 (Chs. 21-37); Mastering Physics with Pearson eText -- ValuePack Access Card (14th Edition)
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In January 2006 astronomers...Ch. 1 - The Hydrogen Maser. A maser is a laser-type device...Ch. 1 - BIO Breathing Oxygen. The density of air under...Ch. 1 - A rectangular piece of aluminum is 7.60 0.01 cm...Ch. 1 - As you eat your way through a bag of chocolate...Ch. 1 - Prob. 1.56PCh. 1 - BIO Estimate the number of atoms in your body....Ch. 1 - Two ropes in a vertical plane exert...Ch. 1 - Two workers pull horizontally on a heavy box, but...Ch. 1 - Three horizontal ropes pull on a large stone stuck...Ch. 1 - As noted in Exercise 1.26, a spelunker is...Ch. 1 - Emergency Landing. A plane leaves the airport in...Ch. 1 - BIO Dislocated Shoulder. A patient with a...Ch. 1 - A sailor in a small sailboat encounters shifting...Ch. 1 - You leave the airport in College Station and fly...Ch. 1 - On a training flight, a student pilot flies from...Ch. 1 - As a test of orienteering skills, your physics...Ch. 1 - Getting Back. 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