A good answer might be:

By the previous discussion, every element of g must be zero. So:

g    =    0   =    (0, 0, 0)T

Distributive with respect to Vector Addition

The dot product is distributive with respect to vector addition:

a  ·  (b + c)    =    a  ·  b  + a  ·  c

This looks reasonable, but be careful that you understand what it says. In particular, the "+" on either side of "=" mean different things.

QUESTION 17:

  1. What is the meaning of the "+" on the LEFT side of the equation?
  2. What is the meaning of the "+" on the RIGHT side of the equation?