Find the coordinates of the point where the line `("x"+1"\ ")/2=("y"+2)/3=("z"+3)/4` meets the plane `"x"+"y"+4"z"=6.`

Find the co-ordinates of a point where the line (x-1)/(-2) = (y-2)/(3) = (z+5)/(-4) , meets the plane 2x+4y-z=3 .

Find the coordinates of the point where the line (x-1)/3 = (y+4)/7 = (z + 4)/2 cuts the XY plane

Find the co-ordinates of a point at which the line (x+1)/(2) = (y-3)/(-2) = (z+5)/(6) , meets the plane 3x-y+z=3 .

Find the co-ordinates of a point at which the line (x+1)/(2) = (y-1)/(-2) = (z+5)/(6) , meets the plane x-2y+3z=8 .

Find the coordinates of the point, where the line (x-2)/3=(y+1)/4=(z-2)/2 intersects the plane x-y+z-5=0 . Also find the angle between the line and the plane.

Find the coordinates of the point where the line (x-2)/3=(y+1)/4=(z-2)/2 intersect the plane x-y+z-5=0. Also, find the angel between the line and the plane.

Find the coordinates of the point, where the line (x-2)/3=(y+1)/4=(z-2)/2 intersects the plane x-y+z-5=0 . Also find the angle between the line and the plane.

Find the coordinates of the point where the line through (3, 4, 5) and (2, 3, 1) crosses the plane 2x + y + z = 7 .

Find the coordinates of the point where the line through (3, -4, -5) and (2, -3, 1) crosses the plane 2x + y + z = 7 .

Find the equation of the line passing through the point "P"(4,6,2) and the point of intersection of the line ("x"-1)/3="y"/2=("z"+1)/7 and the plane "x"+"y"-"z"=8.