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contestada

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

Respuesta :

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

Answer:

Value of v.w is:

-13

Step-by-step 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