Find symmetric equations for the line of intersection of the planes. z = 2x - y - 5, z = 4x + 3y - 5

Find symmetric equations for the line of intersection of the planes. $4 x-y+2 z=3, \quad 2 x+y+7 z=9$

Determine whether the planes are parallel, perpendicular, or neither. If neither, find the angle between them. x = 4y - 2z , 8y = 1 + 2x + 4z

Find the line of intersection of the given planes. 4x + y + z = 0 and 2x - y + 3z = 2

Find symmetric equations for the line of intersection of the planes. 5x-2y-2z=1, 4x+y+z=6

Find the cosine of the angle between the planes x + y + z = 0 and x + 2y + 3z = 1.

Find the acute angle between the lines. x + 2y = 7, 5x - y = 2

Determine whether the planes are parallel, perpendicular, or neither. If neither, find the angle between them. 2z = 4y - x, 3x - 12y + 6z = 1

Find the point at which the line intersects the given plane. x = 3 - t, y = 2 + t, z = 5t; x - y + 2z = 9

Find parametric equations and symmetric equations for the line. The line through the origin and the point (4, 3, -1)

Find the distance from the point to the given plane. (1, -2, 4), 3x+2y+6z=5

Find an equation of the plane. The plane through the point (1, 1/2, 3) and with normal vector i + 4j + k

The plane that passes through the line of intersection of the planes x-z=1 and y+2z=3 and is perpendicular to the plane x+y-2z=1

Find the distance from the origin to the line

$$x=1+t, y=2-t, z=-1+2t$$