Question

Let u = <7, -3>, v = <-9, 5>. Find 4u - 3v.

Answer 1

ok u=<7,-3>
do you know how to find 4u
or 4<7,-3>?

Answer 2

no, I'm not very good with this topic at all

Answer 3

this is going to blow your mind
but this pretty easy to do
example:
pretend we have u=<1,-2> and we are asked to find 5u
5u=5<1,-2>=<5(1),5(-2)>=<5,-10>

Answer 4

alright

Answer 5

so can you evaluate 4<7,-3> now?

Answer 6

4u-3v=4<7,-3>, -3<-9,5> = <4(7), 4(-3)> = <28,-12>
-3(-9), -3(5) = <27, -15>

Answer 7

so it's <55, -27>

Answer 8

yep that is very good
<28,-12>+<27,-15>
=<28+27,-12-15>
=<55,-27>

Answer 9

Thank you!

Answer 10

np you did it all