Question

Evaluate the expression:

v ⋅ w

Given the vectors:

r = <8, 8, -6>; v = <3, -8, -3>; w = <-4, -2, -6>

Answer 1

we have to find dot product?

Answer 2

I'm not sure! i am not too familiar with this topic.

Answer 3

Can you help me?

Answer 4

yeah sure

Answer 5

do you know about i,j,k component

Answer 6

@stassiexoxo

Answer 7

No!

Answer 8

ok then u you have to go through the basics of vectors

Answer 9

Okay

Answer 10

A vector has magnitude (how long it is) and direction

Answer 11

we represent a vector like this

Answer 12

add the vectors a = (3,7,4) and b = (2,9,11)

Answer 13

do u know ho to do this

Answer 14

No may you help? Like how would I write this all out

Answer 15

c = (3,7,4) + (2,9,11) = (3+2,7+9,4+11) = (5,16,15)

Answer 16

so here 3 and 2 are x components and in vectors we can add only the numbers of same components

Answer 17

Okay!

Answer 18

now for dot product we do the same instead of adding we multiply
so can u try the above question

Answer 19

@stassiexoxo

Answer 20

are u there

Answer 21

Yes

Answer 22

can u multiply it component wise

Answer 23

give a try

Answer 24

I give up lol

Answer 25

so v.w=<3*-4,-8*-2,-3*-6>

Answer 26

can u simplfy that

Answer 27

-72