5

Answer the following as true or false.

(i) and are collinear.

(ii) Two collinear vectors are always equal in magnitude.

(iii) Two vectors having same magnitude are collinear.

(iv) Two collinear vectors having the same magnitude are equal.

5

Show that each of the given three vectors is a unit vector:

Also, show that they are mutually perpendicular to each other.

6

Find if

1

Find if

4

If , then is it true that ? Justify your answer.