Linear Algebra!

Write in parametric form the equation of the line that is perpendicular to r=(2i + 4j) + (i - 2j)t and goes through (1,0)

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asked by Liz
  1. 1 i - 2 j slope = -2
    our slope = -1/-2 = 1/2
    vector direction = 2 i + 1 j
    r = (1i +0j) + (2 i + j) t

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    posted by Damon
  2. I could also say the dot product of vector 1 and vector 2 is 0 if they are perpendicular

    V1 = 1 i - 2 j
    V2 = a i + b j

    V1 dot V2 = a -2 b = 0
    so no matter what t is, a = 2 b
    V2 = 2 i + 1 j or 4 i + 2 j
    or in general
    V2 = (2 i + 1 j) t

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    posted by Damon

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