What is the cross product of #<-3,0,1># and #<3,-6,4>#?

1 Answer
Feb 2, 2016

Answer:

#[6, 15, 18]#

Explanation:

The cross product of two vectors is also a vector. If vector #veca = [a1, a2, a3]# and vector #vecb = [b1, b2, b3]# then the components of the cross product vector #vecv = vecaxxvecb# can be calculated from

#v_1 = a_2b_3 - a_3b_2#
#v_2 = a_3b_1 - a_1b_3#
#v_3 = a_1b_2 - a_2b_1#

The best way to memorise these terms is to express the two vectors as a determinant and study the pattern of math operations that will yield the same vector components. If want to compute vector products really fast then you will need to write a short computer program or punch in the formulas in a Spreadsheet.