1. Find the equation of the plane passing through P, and perpendicular to the line L₁. P(2,-1,3); L:x=-1+2+, y = 1 +3t, Z = - 4t 2. Find the equations of the line through P, and perpendicular to the given plane. M₁. P.(-2, 3, 1); M: 2x + 3y + 2 - 3 = 0 3. Find an equation of the plane through P. and parallel to the plane .. Þ₁ (1, -2, -1); § 3x+2y-z + 4 =6 4. Find the equations of the line through P parallel to the given line L. P (21-1,3); L: X-1 3 5+2 yt 2-2 . F F

Q: Find the point, P, at which the line intersects the plane. x= - 3+ 10t, y = 9- 9t, z= 9- 7t; - 10x +…

A: The objective is to find the point of P, at which the line intersects the plane.

Q: and PARALLEL to the given line. 2. (-2, 3); y = -x + 4 Y-3ニ-11×+2)

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A: Let me discuss this problem in step 2:

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