Question

Evaluate the expression:

v ⋅ w

Given the vectors:

r = <5, -5, -2>; v = <2, -8, -8>; w = <-2, 6, -5>

Answer 1

do you know how to do a "dot product" ?

Answer 2

a ⋅ b.

a = <7, 4>, b = <3, 5> I know how to do something like this, but I am not sure how to go about when there are three.

Answer 3

the same way, except with 3 numbers

Answer 4

so basically I would just multiply the 5, the 2, and the -2 and then add that to the product of -5, -8, and 6, and so on?

Answer 5

if v= (a,b,c) and w=(A,B,C) then
v ⋅ w = aA+bB+cC

v = <2, -8, -8>; w = <-2, 6, -5>

Answer 6

so is -12 the answer?

Answer 7

yes, -4 -48+40= -12

Answer 8

Thank you!:)

Answer 9

yw