Question

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

Answer 1

if

x = <a,b,c>
y = <d,e,f>

then

x dot y = a*d + b*e + c*f

Answer 2

essentially you multiply the corresponding elements, then add up the products to get the final answer

Answer 3

So would it be 8*6+1*7+-6*-3=

Answer 4

that's if you wanted to find r dot v

however you want to find v dot w

Answer 5

Oh so it's 6*-7+7*5+-3*2=-13

Answer 6

perfect

Answer 7

Thank you!

Answer 8

you're welcome