To calculate:For the set of
Answer to Problem 33E
A unit vector that is orthogonal to both the vectorsis
Explanation of Solution
Given information:
The set of vectors
Formula used:
Let
If there are two three-dimensional vectors in a space given in the form of their components, say,
A unit vector that is orthogonal to both
Calculation:
Consider the set of vectors
Recall that if there are two three-dimensional vectors in a space given in the form of their components, say,
Apply it,
So, the cross product of vectors
Let
Magnitude of
Recall that a unit vector that is orthogonal to both
Apply it, so, a unit vector that is orthogonal to both
Thus, a unit vector that is orthogonal to both the vectorsis
Chapter 11 Solutions
EBK PRECALCULUS W/LIMITS
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