Find the equation of the plane Π that contains the lines L1: x=−1−2s, y=1−t, z=−1+4s, s∈R L2:x=5+2t, y=6−3t, z=7+8t, t∈R Write the equation of the plane in the form ax+by+cz+d=0.

Q: bugi nе pom the equa that passes 2,1), 2(0, 2, 3) the d P3(−2, −1, −5). Then, find the distance from…

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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 an equation of the plane with x-intercept a, y-intercept b, and z-intercept c.

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Q: Write the equation of the plane 4x - 4y + 2z + 5 = 0 in the intercept fom.

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Q: Solve the system of equations in ?7.   [2][x] + [y] = [4] [2][x] + 4[y] = [5]

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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

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.