The projection of the line segment joining the points (1, - 1,3) and (2, - 4, 11) on the line joining the points(-1,2, 3) and (3, -2, 10) is

Given points A(1,-1,3), B(2,-4, 11), C(-1,2,3) and D(3,-2,10), thenAB=i^−3j^+8k^CD=4i^−4j^+7k^So, the length of projection of line segment vector  AB on the line vector joining points C and D is =|AB⋅CD||CD|=4+12+5616+16+49=7281=729=8Hence, answer is 8.