Question

Evaluate the expression:

v ⋅ w

Given the vectors:

r = <8, 1, -6>; v = <6, 7, -3>; w = <-7, 5, 2>

Answer 1

dot product

Answer 2

simply multiply the same components,
and add them together

v = <6, 7, -3>; w = <-7, 5, 2>

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

Answer 3

v = <v1,v2,v3....vn>
w=<w1,w2,....wn>
V dot W
<v1w1+v2w2+v3w3....vnwn>

Answer 4

sdfjlsafj;j w = <w1,w2,w3....wn>

Answer 5

wait im confuse

Answer 6

what I just typed is the standard format for a dot product. you had three terms in there and I accidentally typed 2 for the w... vectors have to be equal

Answer 7

your v was 6, 7, -3 right?
v = <v1,v2,v3>
so v1 = 6
v2 = 7
v3 = -3

Answer 8

w = <-7, 5, 2>
w1 = -7
w2= 5
w3 = 2
since w = <w1,w2,w3>

Answer 9

@UsukiDoll I agree.

Answer 10

yes

Answer 11

so general dot product format will be u dot v or in your case v dot w = <v1w1+v2w2+v3w3> when I typed vnwn it's up to a number n

Answer 12

Therefore
<6(-7)+7(5)+(-3)(2)>

Answer 13

<-42+35-6>

Answer 14

oh okayy! :)

Answer 15

do you further solve it?

Answer 16

I'm gonna try solve it without a calc.

Answer 17

i got 1

Answer 18

wait i mean -13