$\text { Given } \mathbf { v } = 4 \mathbf { i } + 5 \mathbf { j } - 4 \mathbf { k } \text {, find } \mathbf { v } \times \mathbf { v } \text {. }$
A) $5 \mathbf { i } + 4 \mathbf { j }$
B) 0
C) $4 \mathbf { i } + 5 \mathbf { j }$
D) $4 \mathbf { i } - 5 \mathbf { j }$
E) $80 \mathrm { k }$

Question

$\text { Given } \mathbf { v } = 4 \mathbf { i } + 5 \mathbf { j } - 4 \mathbf { k } \text {, find } \mathbf { v } \times \mathbf { v } \text {. }$ 
A) $5 \mathbf { i } + 4 \mathbf { j }$
B) 0
C) $4 \mathbf { i } + 5 \mathbf { j }$
D) $4 \mathbf { i } - 5 \mathbf { j }$
E) $80 \mathrm { k }$

Quizplus · Accepted Answer

The cross product of a vector with itself is always zero.

Given v=4i+5j−4k, find v×v. \text { Given } \mathbf { v } = 4 \mathbf { i } + 5 \mathbf { j } - 4 \mathbf { k } \text {, find } \mathbf { v } \times \mathbf { v } \text {. } Given v=4i+5j−4k, find v×v.

$\text { Given } \mathbf { v } = 4 \mathbf { i } + 5 \mathbf { j } - 4 \mathbf { k } \text {, find } \mathbf { v } \times \mathbf { v } \text {. }$