What is the cross product of <7, 5 ,6 ><7,5,6> and <3 ,5 ,-2 ><3,5,2>?

1 Answer

The cross product of given coordinates is
-4(10hati-8hatj-5hatk)4(10ˆi8ˆj5ˆk).

Explanation:

Let us consider vecA=(7, 5, 6), vecB=(3, 5, -2)A=(7,5,6),B=(3,5,2) as vecA= 7hati+5hatj+6hatkA=7ˆi+5ˆj+6ˆk, vecB=3hati+5hatj-2hatkB=3ˆi+5ˆj2ˆk
vecAxxvecB = hati(-10-30)-hatj(-14-18)+hatk(35-15)A×B=ˆi(1030)ˆj(1418)+ˆk(3515)
=> -40hati+32hatj+20hatk40ˆi+32ˆj+20ˆk
:. vecAxxvecB = -4(10hati-8hatj-5hatk).