Use the vectors v to find v×v. $\mathbf { v } = 4 \mathbf { i } + 4 \mathbf { j } - \mathbf { k }$
A)v × v = -8
B)v × v = -7
C)v × v = 0
D)v × v = 8
E)v × v = 7

Question

Use the vectors v to find v×v.  $\mathbf { v } = 4 \mathbf { i } + 4 \mathbf { j } - \mathbf { k }$ 
A)v × v = -8
B)v × v = -7
C)v × v = 0
D)v × v = 8
E)v × v = 7

Quizplus · Accepted Answer

The cross product of a vector with itself is always the zero vector, because the angle between a vector and itself is 0 degrees, leading to a sine of 0 in the cross product formula, which results in a vector of magnitude 0.

Use the Vectors V to Find V×v v=4i+4j−k\mathbf { v } = 4 \mathbf { i } + 4 \mathbf { j } - \mathbf { k }v=4i+4j−k

Use the Vectors V to Find V×v $\mathbf { v } = 4 \mathbf { i } + 4 \mathbf { j } - \mathbf { k }$