Given a plane 7, is orthogonal to line x-3=y =-z and goes through a point (-2, 4,1). Find the equation of plane z,. Then, determine the equation of the line that are parallel to the line of intersection between plane z, and plane a:2x-y+ 3z =1 that pass through (2, 4,5). Hence, find the angle between the planes (give your answer in degree) and draw the planes and its angle.

Q: Lines t and w are parallel in the xy-plane. The equation of line t is 4x + 7y = 14, and line w…

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Q: Find r so that the line through (2,6) and (-4,r) a).parallel to 2x-3y=4 b). Pendicular to x+2y=1

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Q: Determine whether the points (-6, 5), (1, 7), and (16, 10) are collinear.

A: Given: -6,5, 1,7  and 16,10 Concept Used: Three points are collinear if area of triangle is zero.…