Q6 of 177 Page 24

If represent two adjacent sides of a parallelogram, then write vectors representing its diagonals.

In the above figure, , , and

Using parallelogram law of vector addition, we can say that

and or

Also, are the diagonals of the parallelogram.

Hence the diagonal vectors of a parallelogram formed by vectors and will be ) and .

Write in the simplified form.

If are two non-collinear vectors such that , then write the values of x and y.

If represent the sides of a triangle taken in order, then write the value of

If are position vectors of the vertices A, B and C respectively, of a triangle ABC, write the value of .