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_{o}, y

_{o}, z

_{o}). Find the equation of line 3 which goes through A and crosses L1 and L2.

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mathman

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You failed to include equations 1 and 2._{o}, y_{o}, z_{o}). Find the equation of line 3 which goes through A and crosses L1 and L2.

- #3

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Equation 1 and 2 are not supposed to be given.

- #4

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Suppose line 1 is_{o}, y_{o}, z_{o}). Find the equation of line 3 which goes through A and crosses L1 and L2.

Line 2 is

where the P and Q are given points and the

Then a line from one to the other would be

Set that equal to your given point. You have three given coordinates of the point and three parameters s,t, and u to work with.

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The lineR_{1}(t) as ther_{0}vector in theR_{3}(u) vector equation instead of just inputting the given point A there.

[Edit -- Added] The general formula you get is long and messy but doing it for specific lines and points isn't too difficult.

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