Question

HELP! I have no idea what to do :/
Compute the following linear combinations:
a. 4(1,7) – 2(5, -3)
b. (-22.2, 19.9) + 3(-.8, 6.3)

Answer 1

4(1,7) – 2(5, -3)

might be better viewed as the sum of its parts

4(1x+7y) – 2(5x -3y)

distribute and gather like parts

Answer 2

So it would be (4x + 7y) - (10x - 6y)?
Then as for like parts.. I put all the x's on one side and the y's on the other?

Answer 3

@amistre64

Answer 4

jsut combine like parts now .. work the - tho

Answer 5

4(1x+7y) – 2(5x -3y)

4x+28y –10x +6y

our resulting vector is some ax + by, or (a,b)

Answer 6

So it'd be -6x - 22y? Or is it supposed to be +?

Answer 7

4x+28y –10x +6y

4x–10x +28y+6y

(4–10)x +(28+6)y

-6x +34y

Answer 8

Ah, oops, okay. Thank you :)
What about the second one?

Answer 9

its the same concept ... what works here works there ... aplly it

Answer 10

I see. That makes sense, thanks!

Answer 11

youre welcome