35.6k views
1 vote
Evaluate the expression:

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

User Ardavel
by
7.8k points

2 Answers

3 votes

Answer:

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

User Stilgar
by
7.2k points
4 votes
v . w = 6(-7) + 7(5) + (-3)(2) = -42 + 35 - 6 = -13
User Barker
by
8.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories