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Math Help - Finding unit vectors perpendicular to points.

  1. #1
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    Finding unit vectors perpendicular to points.

    Find unit vectors perpendicular to a = (1, 3, -1) and b = (2, 0, 1).

    I understand that the cross product of two vectors will give a vector that is perpendicular to them. So I did the cross product and I have 3i - 3j - 6k.

    How do I find more vectors that are perpendicular?
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  2. #2
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    Re: Finding unit vectors perpendicular to points.

    Quote Originally Posted by deezy View Post
    Find unit vectors perpendicular to a = (1, 3, -1) and b = (2, 0, 1).
    I understand that the cross product of two vectors will give a vector that is perpendicular to them. So I did the cross product and I have 3i - 3j - 6k.
    Here are the two unit vectors:
    \pm\frac{3i-3j-6k}{\|3i-3j-6k\|}
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  3. #3
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    Re: Finding unit vectors perpendicular to points.

    How do you know that those vectors are perpendicular, and does 3i - 3j - 6k count?
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    Re: Finding unit vectors perpendicular to points.

    Quote Originally Posted by deezy View Post
    How do you know that those vectors are perpendicular, and does 3i - 3j - 6k count?
    Read the question.
    Find unit vectors perpendicular to a & b.
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