What is the cross product of [3,1,4] and [2,6,1]?

1 Answer
Aug 24, 2016

=23ˆx5ˆy+16ˆz

Explanation:

the cross product you seek is the determinant of the following matrix

ˆxˆyˆz314261

=ˆx(1(1)(4)6)ˆy(3(1)(4)2)+ˆz(3621)

=23ˆx5ˆy+16ˆz

this should be perpendicular to these 2 vectors and we can check that via the scalar dot product

<23,5,16><3,1,4>=69564=0

<23,5,16><2,6,1>=463016=0