Find an equation of the plane that contains the two parallel lines and x −1 y + 1 3 2 x + 3 y 4 3 2 - Z-5 4 Z 4

Q: Do the points (1, 0,−1), (0, 2, 3), (−2, 1, 1), and (4, 2, 3) lie in the same plane? Justify your…

A: To check: If the points (1, 0,−1), (0, 2, 3), (−2, 1, 1), and (4, 2, 3) lie in the same plane and…

Q: Find the equation of the the line perpendicular to the line (2,3) and 2y= 6-3x

A: Given,           The required equation of the line passes through the point (2, 3) and perpendicular…

Q: Find the equations of the line formed by the intersection of the planes P1= x-6y+2z=12 and…

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Q: Find the equation of the line which joins the intersection of the lines 2x + 3y - 5z = 0 and x- 2y…

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Q: find the equation of the line passing through (2,3) and the point of intersection of the lines 2y-x…

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Q: Which equation represents the line that contains the point (1, 4) and is parallel to the line…

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Q: Determine an equation for the plane through the following points: (-5, -9, 3), (-8, -4, 7) and (-9,…

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Q: Find the equation of the line containing the points (−4, −3) and (−2, 9).

A: Given points are (-4, -3) and (-2, 9).

Q: - 1 y - 1 -3 23. (2, – 1, – 3); z- 2 %3D 3 2 2

A: The general equation of plane is ax+by+cz+d=0. To find the equation of plane which passes through…

Q: The line passes through the point (4,4) and is parallel to the line 3x-y=6

A: Given, equation of line and point

Q: find x in the parallelogram

A: A parallelogram is a quadrilateral with opposites pair of sides being parallel to each other. This…