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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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Here are some general steps:1) Write the equations of line 1 and line 2 in vector form as R1(t) and R2(s).2) Set R3(u) equal to the given point A, which has coordinates (xo, yo, zo).3) Equate the corresponding components of R3(u) and A to get three equations in three unknowns (t, s, and u).4) Solve for t, s, and u using the three equations. This will give you the specific values of t and s that make it possible for R3 to go through A.5) Substitute those values into the equation for R3 to get the specific equation for the line that goes through A

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You failed to include equations 1 and 2.tmlfan_17 said:_{o}, y_{o}, z_{o}). Find the equation of line 3 which goes through A and crosses L1 and L2.

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Equation 1 and 2 are not supposed to be given.

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tmlfan_17 said:_{o}, y_{o}, z_{o}). Find the equation of line 3 which goes through A and crosses L1 and L2.

Suppose line 1 is

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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tmlfan_17 said:R_{1}(t) as ther_{0}vector in theR_{3}(u) vector equation instead of just inputting the given point A there.

The line

[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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