Question

If U = 5i - 5j and V = =-4j + 3j, find W = 5u - 2v

Answer 1

i have no idea what formula to use

Answer 2

what is u times 5? or scaled by 5?

Answer 3

what is v scaled by -2?

Answer 4

Vectors :)

Answer 5

u = <5,5>
v = <-4,3>

find W = 5u - 2v

5u = 5<5,5>
-2v = -2<-4,3>


5u = <25,25>
-2v = < 8, -6>
----------------
w = < ?, ? >

Answer 6

So im dealing with vectors, so do I multiply the i and J's together?

Answer 7

the i and j are just notation for place holder; you can convert it back to a more usual vector notation as i did if it looks better

Answer 8

u = 5i - 5j
v =-4j + 3j

w = 5u - 2v


5u = 5( 5i - 5j)
+(-2v) =-2(-4j + 3j)


5u = 25i - 25j
+(-2v) = 8j - 6j
-----------------
w = ? i + ? j

Answer 9

i see i dropped a negative the first go around :)

Answer 10

so w = 33i and -31j?

Answer 11

yes

w = 33i - 31j