Find the equation of the plane that passes through the point (1, 2, 3) and that contains the line L: (x, y, z) = (4, 3, 7) + t (-2, 5, 4), t ∈ R
Added by Gregory P.
Step 1
We can find two points on the line L by plugging in two different values for t. Let's use t = 0 and t = 1. For t = 0: (x, y, z) = (4, 3, 7) + 0 * (-2, 5, 4) = (4, 3, 7) For t = 1: (x, y, z) = (4, 3, 7) + 1 * (-2, 5, 4) = (4 - 2, 3 + 5, 7 + 4) = (2, 8, 11) So, Show more…
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