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Math Help - Find two vectors perpendicular to a line

  1. #1
    Member nautica17's Avatar
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    Find two vectors perpendicular to a line

    This is a question from my calculus 3 class.

    "Find two unit vectors in 2-space that are perpendicular to the line y = -5x + 1"

    I have to do this without a dot product or any matrices. And so I'm lost as to what I have to do. Where do I begin is what I'm asking? I'm thinking I maybe have to make an initial vector along the line and then go from there? It's the rotation part that's tripping me up though.
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  2. #2
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    Quote Originally Posted by nautica17 View Post
    "Find two unit vectors in 2-space that are perpendicular to the line y = -5x + 1"
    You know that the slope of the line is -5 and the point (0,1) is on the line.
    The slope of the perpendicular is \frac{1}{5}.
    Find two points one on each side of the line such that they and (0,1) determine a slope of \frac{1}{5}.
    Make unit vectors out of that.
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  3. #3
    Member nautica17's Avatar
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    Okay, thank-you, I'll work on that.
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  4. #4
    Member nautica17's Avatar
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    Edit: nevermind.
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