Find the point at which the line intersects the given plane. x = 3 - t,   y = 3 + t,   z = 2t x - y + 2z = 2

Q: Find an equation of the plane through (-7, 2, 1) that is 2 = 3t, y +3 = 6t, z = perpendicular to the…

A: We know that equation of plane passing through the point (x1,y1,z1) and normal n=ai+bj+ck is…

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

A:

Q: Find an ordered pair (x,y)2x+y=3

A: To give an example of values (of x and y) satisfying the given equation

Q: Find the equation of the XZ plane.

A: Since you have asked multiple questions in a single request we would be answering only the first…

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

A:

Q: Q2. Find the equation of the line that passes through the point (-3,2,-1) and parallel to the line…

A: Given point is (-3,2,-1). And the planes are,

Q: The x =5 will be (parallel or perpendicular) to the yz-plane.

A: In a 3D cartesian coordinate system, the YZ plane is defined by the equation…

Q: Find the equation of the plane that passes through (3,4,-1) and contains the line of intersection of…

A: To work out the equation of the required plane satisfying the given geometric conditions

Q: x = 1 + 2t, y = 4t, z = 23t; x+2yz + 1 = 0

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