To describe: The cross product theorem and the properties of cross product.
Answer to Problem 2E
The cross product of the
Explanation of Solution
Given:
The two vectors are
Formula used: The cross product of the vectors
The Dot Product of two vectors
Calculation:
The two vectors are orthogonal if the dot product of the two vectors is zero.
From equation (1) and (2), the dot product of
The dot product of
From equation (1) and (2), the dot product of
The dot product of
The vector
Thus, the cross product of the vectors u and v is orthogonal to the vector u and v. The vectors u and v lie in a plane then the vector
Chapter 9 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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