Question

Evaluate the expression:

v ⋅ w
Given the vectors:
r = <8, 1, -6>; v = <6, 7, -3>; w = <-7, 5, 2>

Answer 1

Value of v.w is:

-13

Explanation:

If we are given two vectors as:

a=<x1,y1,z1> and b=<x2,y2,z2>

Then, a.b=x1x2+y1y2+z1z2

Here, we have to find the dot product of v = <6, 7, -3> and w = <-7, 5, 2>

i.e. we have to find v.w

v.w=6(-7)+7(5)-3(2)

= -42+35-6

= -48+35

= -13

Hence, Value of v.w is:

-13

Answer 2

v . w = 6(-7) + 7(5) + (-3)(2) = -42 + 35 - 6 = -13