Question

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

Answer 1

`[-5,15,-3]`.

Explanation:

Let, `vecx=[3,2,5]=3i+2j+5k, and,`,

`vecy=[3,1,0]=3i+j`.

Then, `vecx xx vecy=|(i,j,k),(3,2,5),(3,1,0)|`

`=(0-5)i-(0-15)j+(3-6)k`.

`rArr vecx xx vecy=-5i+15j-3k=[-5,15,-3]`.