Question

HELP PLEASE

Evaluate the expression.

r = <7, -3, -7>, v = <4, 6, -5>, w = <-5, -6, -3>

v ⋅ w

a) -41
b) <-20, -36, 15>
c) <-28, 18, -35>
d) -9

Answer 1

Option b is right answer because v.w means 4 x -5,6 x -6 and -5 x -3.
Note-x means multiply.

Answer 2

v . w = <-20, -36, 15>

Explanation:

r = <7, -3, -7>, v = <4, 6, -5>, w = <-5, -6, -3>

To find the dot product of vectors we multiply the numbers

We need to multiply v and w

vectors is in the form of <x,y,z>

Multiply all the x values

4 times -5= -20

6 times -6 = -36

-5 times -3 = 15

So v . w = <-20, -36, 15>