What is the dot product of #<1,5,-3 ># and #<-1,4,2 >#?

1 Answer
Nov 21, 2016

Answer:

The dot product is #-13#.

Explanation:

Let us consider #[1,5,-3]# as #vecA=hati+5hatj-3hatk# and #[-1,4,2]# as #vecB=-hati+4hatj+2hatk#.
The dot product of #[1,5,-3]# and #[-1,4,2]# is #vecA.vecB#.
#vecA.vecB=a_1b_1+a_2b_2+a_3b_3#.
Substitute the given values we get,
#=>vecA.vecB=(1)(-1)+(5)(4)+(-3)(2)=-13#.