Given That $g \operatorname { gd } g ( 1,1,5 ) = 3 \vec { i } - 3 \vec { j } + \vec { k }$

Multiple Choice

Given that $g \operatorname { gd } g ( 1,1,5 ) = 3 \vec { i } - 3 \vec { j } + \vec { k }$ , in which of the following directions does g increase the fastest?

A) $7 \vec { i } - 5 \vec { j } + 2 \vec { k }$
B) $\vec { i } - \vec { k }$
C) $- 3 \vec { i } + 3 \vec { j } + 2 \vec { k }$