Determine the x coordinate of the point on the plane Π:−3x−2y+2z=2 closest to the point (2,5,−5).

Q: Find the distance from the point (1, −3, 6) to the x-axis.

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 cosine of the angle between the planes -3x - 4y – 3z = 3 and the plane - 1x - 3y + 3z = -2.

A:

Q: FIND X , Y AND THE ORDERED PAIR USING ELIMINATION OR SUBSTITUTION METHOD. x+2y-7=0 2x-5y+13=0

A:

Q: Find the points of intersection of x2 = 4y and y = 4x .

A: Given,          The point of intersection of x2=4y and y=4x.

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 a Cartesian equation for r = 3t – 1, y = 4t + 2.

A:

Q: Sketch v = (−2, 1), w = (2, 2), v + 2w, v − 2w.

A: Given vector, v = (−2, 1), w = (2, 2)

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…