3. Let II: x - 4y + 2z - 7 = 0 be a plane in space and let & be the line given by the intersection of the planes x - 2y - 4z = -3 and 2x + y − 3z + 1 = 0. Find the line p on the plane II that is orthogonal to and contains the point given by the intersection between I and II.

Q: Represent two planes that intersect at a line represented by 3. y- 7 = z+2 2.

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Q: x +1 L1: 2 у — 2 y 1 у — 2 z-1 x +1 L2: 1 y – 2 -1 2 3.

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Q: Find the equation of a plane bisecting the line segment joining (2,0,6) and (6,2,4) and…

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Q: Which set is a function? A) {(3,4), (3,5), (3,6), (3,7)} B) {(1,2), (3,4), (4,3), (2,1)) C) (6,7),…

A: Explanation:- In a function the same input i.e x value can not have two different values.

Q: Determine if the line given by r(t)=(-2t, 2+7t, -1-4t) intersects the plane given by 4x+9y-2z =-8…

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Q: Consider the lines r(t) = (2-3, +4--1) and r(s) (+4,- +3,3+6). A. Show that these two lines…

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Q: Give an equation of the plane determined by the intersecting lines L1 and L2 = 2t 15 –t and L2 : {…

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Q: Find the intersection point(s) (if any) of the line r(t) = (-33, 5, 6) +t(9, -3, 4) and the plane…

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Q: Find an equation for the plane through A(-2, 0, -3) and B(1, -2, 1) that lies parallel to the line…

A: Given points are