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?

Math - Vectors - drwls, Wednesday, February 27, 2008 at 6:50am
You should calculate the numerical values for each side and show that thay are the same.
12 (left side)= 4 + 8 (right side)

Although the give you specific numerical values for u, v and w, the relationship is true in general.

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