Find t so that the following lines may be coplanar `tx-4y+7z+16=0=4x+3y-2z+3, x-3y+4z+6=0=x-y+z+1`

Solve the following system of equations 3x - 4y + 5z = 0, x + y - 2z = 0, 2x + 3y + z = 0

Find the angle between the two lines 2x=3y=-z and 6x=-y=-4z .

Add the following expressions: 2x+9y-7z, 3y+z-3x, 3z-4y-x

Find the equation of the plane through the line of intersection of the planes x + y + z = 1 and 2x + 3y + 4z = 5, which is perpendicular to the plane x - y + z = 0.

Find the angle between two planes 2x+y-5z=0 and 4x -3y+7z=0

Find the angle between the lines 2x=3y=-z and 6x=-y=-4z

The equation of the line which intersect each of the two lines 2x+y-1 =0 =x-2y+3z and 3x -y+z+2 = 0 = 4x + 5y - 2z-3 = 0 and is parallel to (x)/(1)=(y)/(2)=(z)/(3) is

Solve x-y+z=4 , x+y+z=2 , 2x+y-3z=0

Which of the following planes are parallel but not identical? P_1: 4x-2y+6z=3 P_2: 4x-2y-2z=6 P_3: -6x+3y-9z=5 P_4: 2x-y-z=3

Add : 8x - 3y + 7z, -4x + 5y - 4z, -x - y - 2z