What is the dot product of <5,-3,6 > and <-8,2,-9 >?

1 Answer
Jan 6, 2017

-100

Explanation:

the dot product of two vectors

veca=((a_1),(a_2),(a_3)), &vecb=((b_1),(b_2),(b_3)),

can be calculated by the result

veca.vecb=a_1b_1+a_2b_2+a_3b_3

in this case we have

veca=((5),(-3),(6)), &vecb=((-8),(2),(-9)),

veca.vecb=5xx(-8)+(-3)xx2+6xx(-9)

veca.vecb=-40-6-54=-100