uestion 11: The planes P and P2 are defined by the equations below. P: ar – 2y + 4z = 2 P2:r- y+ 2z ind a value for a so the planes are perpendicular. 10 No g-value

Q: Find the intersection of the planes r + 2y - 3z 1 and x -y+ z 1 two different

A: Given: equation of planes We need to find intersection of above two planes.

Q: Which one is the point of intersection of the plane - 3x + 3y + 4z = 49 and the line x = 3-51 y =…

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Q: Find the distance between the point (-1, 1,-1) and the plane 3x - 5y + 2z = 12

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Q: You are at the point (3, 1, 2), standing upright and facing the xz-plane. You walk 2 units forward,…

A: The initial point is :  standing upright and facing the x-z plane.Walk 2 units forward, turn right,…

Q: Find the equation for the plane through the points Po(3, – 4, – 3), Qo(-3,4,4), and Ro(5, - 5,3).…

A: Given problem:- Find the equation for the plane through the points P0 (3, - 4, - 3), Q0 (- 3, 4, 4)…

Q: area of the triangle with the vertices (1, 0, 3), (5, 0,-1), and (0, 2, –2). 41. Unit normal vector…

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Q: 1. Find the equations of the planes that are exactly 4 units from the plane 2x-2y+z=6

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Q: Write the equation for the plane. The plane through the point P(2, - 2, - 3) and parallel to the…

A: By the using properties we find the required equation of plane.

Q: Find a plane containing the point (1,3,-6) and the line of intersection of the planes 8x - 8y- 5z =…

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Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.