15. What is the magnitude of the projection of the vector <1,2,3> onto the vector <4,3,2> ?
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A. (14)1/2/16 |
B. 16/(406)1/2 |
C. 16/(29)1/2 |
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D. 16/(14)1/2 |
E. 16 |
Solution: The answer is C
The vector projection of b onto a, denoted projab, is defined as,
Let a = <4,3,2> and b = <1,2,3>, so that the projection of b onto a is,
Hence, the magnitude of the above result is,
