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Home Q & A Board Science-Related Homework Help Physics
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mickalawam mickalawam
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11 years ago
u.v=(1/4)//u//^2 - (1/4)//u//^2 where "//" is the norm of a vector and "." is the dot product.

One of my class assignment questions that's driving me mad, would appreciate help asap!  Thanks. Slight Smile
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#1
11 years ago
I'm assuming the second one is supposed to be the norm of v instead of u.

In either case, yes it is possible.

Does it hold for any u an v?  No, just think of a counter-example: take u = v and neither equal to 0.  Then u.v > 0 but the right hand side is = 0, therefore it does not hold for all u and v.
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