Find the length and direction (when defined) of u × v.
-u = -3i + 8i - 6k, v = 0
A) $0 ; - 3 \mathbf { i } + 8 \mathbf { i } - 6 \mathbf { k }$
B) $0 ; \frac { 1 } { \sqrt { 109 } } ( - 3 \mathbf { i } + 8 \mathbf { i } - 6 \mathbf { k } )$
C) 0; no direction
D) $\sqrt { 109 } ; \frac { 1 } { \sqrt { 109 } } ( - 3 \mathbf { i } + 8 \mathbf { i } - 6 \mathbf { k } )$

Question

Find the length and direction (when defined) of u × v.
-u = -3i + 8i - 6k, v = 0 
A) $0 ; - 3 \mathbf { i } + 8 \mathbf { i } - 6 \mathbf { k }$
B) $0 ; \frac { 1 } { \sqrt { 109 } } ( - 3 \mathbf { i } + 8 \mathbf { i } - 6 \mathbf { k } )$
C) 0; no direction
D) $\sqrt { 109 } ; \frac { 1 } { \sqrt { 109 } } ( - 3 \mathbf { i } + 8 \mathbf { i } - 6 \mathbf { k } )$

Quizplus · Accepted Answer

The cross product of any vector with the zero vector (v = 0) is the zero vector, which has a magnitude of 0 and is undefined in direction.

Find the Length and Direction (When Defined) of U × 0;−3i+8i−6k0 ; - 3 \mathbf { i } + 8 \mathbf { i } - 6 \mathbf { k }0;−3i+8i−6k

Find the Length and Direction (When Defined) of U × $0 ; - 3 \mathbf { i } + 8 \mathbf { i } - 6 \mathbf { k }$