Let L1 be the line passing through the points Q1=(1, 5, -2) and Q2=(4, 3, 0). Find a value of k so that the line L2 passing through the point P1 = P1(43, -34, k) with direction vector →d=[9, -9, 5]T intersects with L1. What is k?
Added by Agust-N M.
Step 1
This can be found by subtracting the coordinates of Q1 from Q2. So, the direction vector of L1 is Q2 - Q1 = (4-1, 3-5, 0-(-2)) = (3, -2, 2). Now, we have the equations of the two lines. Line L1 can be represented as r = (1, 5, -2) + t(3, -2, 2) and line L2 can be Show more…
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