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anonymous

  • 5 years ago

Consider the following vectors. v = 9i + 2j, w = 4i + 3j (a) Find the dot product v·w. v·w = (b) Find the angle between v and w. Give your answer in degrees, and round it to 2 decimal places. Angle between v and w = State whether the vectors are parallel, orthogonal, or neither.

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  1. anonymous
    • 5 years ago
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    dot product = (9 x 4 ) + (2 x 3 ) = 36 +6 =42

  2. anonymous
    • 5 years ago
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    length of u = |u| = sqrt ( 9^2 +2^2} = sqrt( 85) |w| = sqrt( 4^2 +3^3) = 5

  3. anonymous
    • 5 years ago
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    a . b = |a||b|cos(A) where A is the angle between them

  4. anonymous
    • 5 years ago
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    \[A= \cos^{-1} \frac{a.b}{|a||b|}\]

  5. anonymous
    • 5 years ago
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    the rest is calculator work

  6. anonymous
    • 5 years ago
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    lol is it orthogonal or parralel or neither?

  7. anonymous
    • 5 years ago
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    most likely neither , you have to calculate A

  8. anonymous
    • 5 years ago
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    I think its neither

  9. anonymous
    • 5 years ago
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    for orthonal A=90degrres, for parallel A=0 and otherwise its nither

  10. anonymous
    • 5 years ago
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    keyboard :|

  11. anonymous
    • 5 years ago
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    Sweet. It must be neither then.

  12. amistre64
    • 5 years ago
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    the slope of the vectors tell you if they are // or L or neither right? 3/4 and 2/9

  13. amistre64
    • 5 years ago
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    in R^3 space, the dot is easier to tell the relationship between vectors; but in the plane? y/x is the slope of a vector :)

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