Q1 of 177 Page 23

If P, Q and R are three collinear points such that and Find the vector .

As P, Q and R are three collinear points.

Hence, as shown in above fig

And given and .

Therefore

In fig 23.5 ABCD is a regular hexagon, which vectors are:

i. Collinear

ii. Equal

iii. Cointitial

iv. Collinear but not equal.

Answer the following as true or false:

i. and are collinear.

ii. Two collinear vectors are always equal in magnitude.

iii. Zero vector is unique.

iv. Two vectors having same magnitude are collinear.

v. Two collinear vectors having the same magnitude are equal.

Give a condition that three vectors and form the three sides of a triangle. What are the other possibilities?

If and are two non-collinear vectors having the same initial point. What are the vectors represented by and