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    Find the vector equation for line of intersection of two planes.

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    Consider the planes 1x + 4y +3z = 1 and 1x + 3z = 0

    (A) Find the unique point P on the y-axis which is on both planes. (0,1/4 ,0 )

    (B) Find a unit vector with positive first coordinate that is parallel to both planes.
    .94869 i + 0 j + -.3162 k

    (C) Use parts (A) and (B) to find a vector equation for the line of intersection of the two planes,
    ? + 1/4 + ?

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    Solution Summary

    The vector equation for line of intersection of two planes is found.