Find the angle between the plane `2x + 3y-5z = 10` and the line passing through the points (2, 3, - 1) and (1, 2, 1).

Find the angle between the planes 2x-3y+4z=1 and -x+y=4 .

Find the vector quation of the plane containing the line of intersection of the planes x-3y+4z-5=0 and 2x-y+3z-1=0 and passing through the point (1,-2,3).

Find the equation of the plane containing the line of intersection of the plane x+y+z-6=0\ a n d\ 2x+3y+4z=5=0 and passing through the point (1, 1,1).

Find the angle between the line (x+1)/2 = y/3 = (z-3)/6 and the plane 10x+2y-11z = 3

Equation of the plane perpendicular to the line x/1=y/2=z/3 and passing through the point (2,3,4) is :

Find the angle between the line x-1/3=3-y/-1=3z+1/6 and the plane 3x -5y + 2z = 10 .

The cartesian equation of a line is 6x - 2 = 3y + 1 = 2z - 2 . Find :(a) the direction-ratios of the line, and (b) vector equation of the line parallel to this line and· passing through the point (2, - 1, - 1).

The equation of the plane perpendicular to the line (x-1)/(1), (y-2)/(-1), (z+1)/(2) and passing through the point (2, 3, 1) . Is

Find the vector and cartesian equation of the line passing through the point (2,1,3) and perpendicular to the lines. (x-1)/(1)=(y-2)/(2)=(z-3)/(3) and (x)/(-2)=(y)/(2)=(z)/(5)

Find the angle between the line : (x+1)/2=y/3=(z-3)/6 and the plane 10x+2y-11z=3 .