What is the dot product of #<1,4,-7 ># and #<-1,6,2 >#?

1 Answer
Sep 9, 2016

Answer:

#<1,4,-7> * <-1,6,2> = 9#

Explanation:

The dot product of two vectors is very easy!

Given,
# < x_1, y_1,z_1> # and # < x_2, y_2, z_2>#,
# < x_1, y_1,z_1> * < x_2, y_2, z_2>#
# = x_1 * x_2 + y_1 * y_2 + z_1 * z_2#

So, for our question,
#<1,4,-7> * <-1,6,2>#
# = -1 + 24 - 14 = 9 square#