Write the coordinate axis to which the line `(x-2)/3=(y+1)/4=(z-1)/0` is perpendicular.

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 (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 equation of the plane which contains the line (x-1)/(2)= (y+1)/(-1) = (z-3)/(4) and is perpendicular to the plane x+2y +z= 12 .

A plane passes through the point (1,1,1) and is perpendicular to the line (x-2)/(3) = (z+5)/(4) = (y-1)/0 . The perpendicular distance from the origin to the plane is

Statement 1: The lines (x-1)/1=y/(-1)=(z+1)/1 and (x-2)/2=(y+1)/2=z/3 are coplanar and the equation of the plnae containing them is 5x+2y-3z-8=0 Statement 2: The line (x-2)/1=(y+1)/2=z/3 is perpendicular to the plane 3x+5y+9z-8=0 and parallel to the plane x+y-z=0

Find the equation of line passing through the point of intersection of the lines 2x+3y+1=0 and 3x-5y-5=0 (i) perpendicular to X -axis. (ii) perpendicular to Y -axis. (iii) perpendicular to line x-2y+1=0 (iv) parallel to line x+2y-1=0 .

2/ Find the perpendicular distance of the point (1, 0, 0) from the line (x-1)/2=(y+1)/-3=(z+10)/8 Also, and the coordinates of the foot of the perpendicular and the equation of the perpendicular.

The coordinates of a point on the line (x-1)/(2)=(y+1)/(-3)=z at a distance 4sqrt(14) from the point (1, -1, 0) are

Find the equation of line through the origin and a point where line (x-1)/2=(y-2)/4=(z-3)/4 . Cuts the z-axis.