anonymous
  • anonymous
Let u = <-4, -3>. Find the unit vector in the direction of u, and write your answer in component form.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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bahrom7893
  • bahrom7893
I'm going to write the unit vector as ^u (u hat)
bahrom7893
  • bahrom7893
First find L: L = sqrt((-4)^2 + (-3)^2) = sqrt(16+9) = sqrt(25) = 5
anonymous
  • anonymous
is that a formula?

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bahrom7893
  • bahrom7893
Unit vector is simply: (1/L)*u = (1/5)*<-4,-3> = <-4/5; -3/5>
bahrom7893
  • bahrom7893
yea the formula is basically: L = sqrt(x_comp^2 + y_comp^2 + x_comp^2 .. )
anonymous
  • anonymous
thank you so much can you hep me on one more pls?
anonymous
  • anonymous
Given that P = (5, 9) and Q = (13, 12), find the component form and magnitude of PQ (arrow on top)
bahrom7893
  • bahrom7893
If I remember how to do those.
bahrom7893
  • bahrom7893
|dw:1371004746486:dw|
anonymous
  • anonymous
i have to use the formula right?
bahrom7893
  • bahrom7893
well now we have to find the magnitude and the direction of the vector. Magnitude is pretty simple, it's just the length: |dw:1371004912116:dw|
anonymous
  • anonymous
the magnitude is 8 right
bahrom7893
  • bahrom7893
|PQ| = sqrt(8^2 + 3^2) = sqrt(64+9) = sqrt(73)
anonymous
  • anonymous
and the component form is <8, 3>
bahrom7893
  • bahrom7893
oh yea, i misread it. Thought u wanted the unit vector. But yea, you're right
bahrom7893
  • bahrom7893
@satellite73 are we correct?
anonymous
  • anonymous
yes it was right! thanks sosososo much

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