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WZ
Numerade Educator

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Problem 41 Medium Difficulty

Find the scalar and vector projections of $ b $ onto $ a $.

$ a = \langle 4, 7, -4 \rangle $ , $ b = \langle 3, -1, 1 \rangle $

Answer

scalar projection b onto $a=\frac{1}{9}$ vector projection $=<\frac{4}{81}, \frac{7}{81}, \frac{-4}{81}>$

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Video Transcript

the problem is finding the scaler and the factor productions of Be Into a A is the culture for seven. Next to four b is equal to three make two, one and one So first magnitude for a If he could too. You're tough. Sixteen past forty nine plus sixteen. This is a call to nine. Then we have two scallop projections of being on tow. Eh? This is equal Chu. Aye, that be over magnitude you have a this's kochu twelve minus seven minus four over nine. But this it's because you want over nine Then the production laughter projections of be onto a It's equal to one over nine times I like to, eh, Over the magnitude of aid This is equal to one over eighty one Pam's War seven Negative for this is become true for over one seven over eighty one and negative for over eighty War