# What is the cross product of [3,2, 5] and [3, 1, 0] ?

Apr 23, 2018

$\left[- 5 , 15 , - 3\right]$.

#### Explanation:

Let, $\vec{x} = \left[3 , 2 , 5\right] = 3 i + 2 j + 5 k , \mathmr{and} ,$,

$\vec{y} = \left[3 , 1 , 0\right] = 3 i + j$.

Then, $\vec{x} \times \vec{y} = | \left(i , j , k\right) , \left(3 , 2 , 5\right) , \left(3 , 1 , 0\right) |$

$= \left(0 - 5\right) i - \left(0 - 15\right) j + \left(3 - 6\right) k$.

$\Rightarrow \vec{x} \times \vec{y} = - 5 i + 15 j - 3 k = \left[- 5 , 15 , - 3\right]$.