Wednesday
April 16, 2014

Homework Help: Math - Vectors

Posted by Anonymous on Tuesday, February 26, 2008 at 9:15pm.

If "u = (2,2,-1)", "v = (3,-1,0)" and "w = (1,7,8)", verify that "u (dot) (v + w) = u (dot) v + u (dot) w".

My work:

LHS:
u (dot) (v + w)
= (2,2,-1) (dot) (4,6,8)
= [(2,2,-1) (dot) (3,-1,0)] + [(2,2,-1) (dot) (1,7,8)]
= [u (dot) v] + [u (dot) w]
Therefore, LHS = RHS

Did I prove this question correctly?

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