Q7 of 177 Page 23

If the position vectors of the points A (3, 4), B (5, -6) and C (4, -1) are respectively, compute

Given A = (3, 4), B = (5, –6) and C = (4, –1)

We know position vector of a point (x, y) is given by, where and are unit vectors in X and Y directions.

(position vector of point A)

We also have

Similarly.

We need to compute.

Thus, .

Find the coordinates of the tip of the position vector which is equivalent to where the coordinates of A and B are (-1, 3) and (-2, 1) respectively.

ABCD is a parallelogram. If the coordinates of A, B and C are (–2, 1), (3, 0) and (1, –2), find the coordinates of D.

If be the position vector whose tip is (5, -3), find the coordinates of a point B such that the coordinates of A being (4, -1).

Show that the points and form an isosceles triangle.