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OpenStudy (anonymous):
Help Assume that u*v = 3, ||u||=7, and ||v||=3, what is the value of 5u(u-2v).
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OpenStudy (anonymous):
@ganeshie8 help
OpenStudy (anonymous):
i got -10, but i don't think it's right
ganeshie8 (ganeshie8):
you want to find the dot product :- \(5u.(u-2v)\)
ganeshie8 (ganeshie8):
right ?
OpenStudy (anonymous):
right
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ganeshie8 (ganeshie8):
dot product is distributive, so simply distribute
ganeshie8 (ganeshie8):
\(5u.(u-2v)\) \(5u.u- 5u.2v\) \(5u^2- 10u.v\) \(5||u||^2- 10u.v\)
ganeshie8 (ganeshie8):
plug the given values and simplify
OpenStudy (anonymous):
|dw:1384038231744:dw|
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