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spndsh

  • 3 years ago

when do you use the dot product?

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  1. TuringTest
    • 3 years ago
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    the most simple answer I can give you to that very general question when you want to determine how parallel two lines are, or the angle between them

  2. spndsh
    • 3 years ago
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    ok, how do you use dot product to find a vector projection?

  3. TuringTest
    • 3 years ago
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    Given two vector \(\vec a\) and \(\vec b\) the projection of \(\vec b\) onto \(\vec a\) is given by\[\text{proj}_{\vec a}\vec b={\vec a\cdot\vec b\over\|\vec a\|^2}\vec a\]

  4. TuringTest
    • 3 years ago
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    where \[\|\vec a\|\] is the magnitude of \(\vec a\)

  5. spndsh
    • 3 years ago
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    oh, thanks so much!

  6. TuringTest
    • 3 years ago
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    welcome!

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