Math - intersection of planes

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You are given the following two planes:
x+4y-3z-12=0
x+6y-2z-22=0

a) Determine if the planes are parallel
b) Fine the line of intersection of the two

  • Math - intersection of planes -

    a. If the planes are parallel, one equation would be a linear combination of the other, which is not the case.

    b. as in the previous problem,
    http://www.jiskha.com/display.cgi?id=1283324887
    reduce the equations to the reduced echelon form, namely
    1 0 -5 = -8
    0 2 1 = 10
    Set z=t (free variable) and solve for x, y and z to get
    x=5t-8
    y=-(1/2)t+5
    z=t

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