anonymous
  • anonymous
let v=(2,8) and w=(-1,-4). which of the following is true A. v=-2w B. The x-component of v is 2 C.V*W=-32 D. V and W are perpendicular
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
let's check one by one: A. v = -2w -2w = -2(-1,-4) = (-2*(-1),-2*(-4)) = (2, 8)
anonymous
  • anonymous
so, v = -2w is True
anonymous
  • anonymous
and b is? how would you do that?

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anonymous
  • anonymous
V = (2, 8) is a vector with x-componet 2 and y-component 8
anonymous
  • anonymous
v*w = (2,8)*(-1,-4) = 2*(-1) + 8*(-4) = -2 - 32 = -34
anonymous
  • anonymous
so B is false?
anonymous
  • anonymous
B is true, since v's x-componet is 2
anonymous
  • anonymous
oh okay i see
anonymous
  • anonymous
c is false, v*w = -34 and not -32
anonymous
  • anonymous
as v*w is not equal to zero, v and w are not perpendicular
anonymous
  • anonymous
So only A and B are true, thanks
anonymous
  • anonymous
that's it
anonymous
  • anonymous
Np ;)
anonymous
  • anonymous
I have one more question?:)
anonymous
  • anonymous
sure
anonymous
  • anonymous
evaluate the following expression: -1(5,-1)+2(1,1)
anonymous
  • anonymous
what you have done so far?
anonymous
  • anonymous
multiply the two out side numbers?
anonymous
  • anonymous
show your work, then I see where you are getting wrong (if so)
anonymous
  • anonymous
(-5,1)+(2,2)
anonymous
  • anonymous
that's correct, now just sum component by component
anonymous
  • anonymous
(-3,3)?
anonymous
  • anonymous
You got it!
anonymous
  • anonymous
Thanks:D
anonymous
  • anonymous
No problem ^^

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