Question

Evaluate the following expression: 3(1,-1) - (4,-2). Help me please

Answer 1

Are these vectors?

Answer 2

Yeah haha ipwnbunnies sick name manXD

Answer 3

Apply the scalar multiple to each component of the vector:
\[a<x,y> = <ax,ay>\]

Answer 4

When adding or subtracting vectors, add or subtract the similar components to get the resultant vector. As in the x-components add and subtract from other x-components, etc.

Answer 5

Could you possibly show me how to do that sorry if I horrible at this I just want to learn

Answer 6

Let's say we have this problem:
\[3<4,-3>\]

Answer 7

Alright

Answer 8

We multiply both components of the vector by the scalar number, the number outside. So, simplifying this problem will give us:
\[<12,-9>\]

Answer 9

Alright cool man but that isn't one of the options on here?

Answer 10

That was an example...

Answer 11

Oh okay my b

Answer 12

Do the same for the one vector in your problem, then add the vectors.

Answer 13

Okay so it'll be 3-3+12+6?

Answer 14

No. So we have these two vectors now:
\[<3,-3> - <4,-2>\]

Answer 15

Okay

Answer 16

You subtract the similar components. As in the x-components and subtracted, the y-components are subtracted, etc.

Answer 17

The result is a vector, your final answer.

Answer 18

So<-1,5>?

Answer 19

Try again. You did some bad math, lol.
\[<3-4,-3-(-2)>\]

Answer 20

<-1-6> right?

Answer 21

...No. Do you know how to subtract negative numbers?
-2 - (-4) = -2 = 4 = 2

Answer 22

-2-(-4)=8? Cause you distribute the negative sorry man I'm confused

Answer 23

Yeah, you distribute the negative sign, but it is still an addition or subtraction problem.
-2 - (-4)
Multiply -4 by -1: -2 + 4 = 2

Answer 24

Oh okay my bad but 2 isn't an option either :/

Answer 25

It's not 2 either...
\[<3-4, -3 - (-2)>\]
\[<-1,-1>\]

Answer 26

-3 - (-2) = -3 + 2 = -1

Answer 27

Thanks man sorry about all that I'm math challenged