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

1 Answer
Feb 28, 2016

Answer:

For two vectors # < x_1, y_1, z_1 > # and # < x_2, y_2, z_2 > #, the dot product is #x_1x_2+y_1y_2+z_1z_2#. In this case the dot product is #8+20-2 = 26#. The dot product of two vectors is a scalar.

Explanation:

Just showing it in a little more detail:

# < -4, 5, -2 > * <-2, 4, 1 > =((-4xx-2)+(5xx4)+(-2xx1))#
# = 8+20-2 = 26#