Find the equation of the line joining the points (-1,6) and (2,5).

Find the equation of the line joining the points A(0,-1,3) and B(2,-3,-1).

Find the equation of the st. line joining the points (3, -1) and (2, 3). Also find the equation of another st. line perpendicular to this st. line and passing through (5, 2).

Find the vector equation of the line joining the points A(1,-1,2) and B(1,-2,0).

Find the equation of the line passing through the point (-1,1) and (2,4).

Find the image of the point (2,-1,5) in the line (x-11)/(10)=(y+2)/(-4)=(z+8)/(-11) . Also find the equation of the line joining the given point and its. Also the length of that line segment .

Find the projection of the line segment joining the points (1,2,3), (4,3,1) on the line with direction ratios lt3,-6,2gt .

Find the equation of the straight line joining the points (a cos theta_1 a sin theta_1) and (a cos theta_2, a sin theta_2) .

Find the point, where the line joining the points (1,3,4) and (-3,5,2) intersects the plane vecr*(2hati+hatj+hatk)+3=0 . Is the point equaidistant from the gien points?

Find the equation of the plane passing through the points (1,2,1) and perpendicular to the line joining the points (1,4,2) and (2,3,5), Also, find the perpendicular distance of the plane from the origin.