What is the dot product of #<-5,2,8 ># and #<-1,6,2 >#?

1 Answer
Aug 22, 2017

Answer:

The answer is #=33#

Explanation:

The dot product of #2# vectors, #veca= < x_1, x_2, x_3> # and #vecb = < y_1, y_2, y_3># is

#veca.vecb=< x_1, x_2, x_3>.< y_1, y_2, y_3>#

#=x_1y_1+x_2y_2+x_3y_3#

Therefore,

#< -5, 2, 8>.< -1, 6, 2> = (-5*-1)+(2*6)+(8*2)#

#=5+12+16=33#