[" nd the vector equation of the line joining "(1,2,3)" and "(-3,4,3)" and show that it is perpendicular "],[" the "z" -axis."]

Find the vector of the line joining (1,2,3) and (-3, 4,3) and show that it is perpendicular to the z-axis.

The vector equation of the line joining the points (2,1,3) and (-2,4,1) is

Find the vector equation of the line (x-1)/2=(y-2)/-3=(z+3)/4 .

The vector equation of the line passing through (2,3,4) and parallel to Z-axis is

The equation of the plane passing through the mid - point of the line joining the points (1,2,3) and (3,4,5) and perpendicular to it is

(i) Find the vector and cartesian equation of the line passing through the point (1,2,-4) and perpendicular to the two lines : (x - 8)/(3) = (y + 19)/(-16) = (z - 10)/(7) and (x - 15)/(3) = (y - 19)/(8) = (z - 5)/(-5) . (ii) Find the vector and cartesian equations 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)/(-3) = (y)/(2) = (z)/(5) .

Write the projection of the line segment joining the points (2,1,3) and (3,2,4) on z-axis.