Find the vector joining the points `P(2, 3, 0)`and `Q( 1, 2, 4)`directed from P to Q.

Find the direction cosines of the vector joining the points A(1, 2, 3) and B(1, 2, 1) , directed from A to B.

Find the direction cosines of the vector joining the points A(1, 2, -3) and B(-1, -2, 1) directed from A to B .

Find the direction cosines of the vector joining the points A(1,2,-3)a nnB(-1-2,1) directed from AtoBdot

Find the position vector of the mid point of the vector joining the points P(2, 3, 4) and Q(4, 1, 2) .

Write the position vector of the mid-point of the vector joining the points P (2, 3, 4) and Q (4, 1,-2).

A point R with x - coordinate 4 lies on the line segment joining the points P(2,-3,4) and Q(8, 0, 10) . The coordinates of R are

The line segment joining the points (3,\ -4) and (1,\ 2) is trisected at the points P and Q . If the coordinates of P and Q are (p ,\ -2) and (5//3,\ q) respectively. Find the values of p and q .

Find the position vector of the mid point of the vector joining the points P(2,3,4)a n d\ Q(4,1,-2)dot

If Q be the foot of perpendicular from P(2, 4, 3) on the line joining the points A(1, 2, 4) and B(3, 4, 5), then co-ordinate of Q is given by

The line joining the points (2,\ 1) and (5,\ -8) is trisected at the points P and Q . If point P lies on the line 2x-y+k=0 . Find the value of k .