​ The following as true or false. (i) Bar a and - a are collinear. (ii) Two collinear vectors are always equal in magnitude. ​

Question

The following as true or false. 

(i) \(\bar{a}\; and \;-\bar{a}\) 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.

Answer 1

(i) \(\bar{a}\; and \;-\bar{a}\) are collinear - True

(ii) Two collinear vectors are always equal in magnitude

(iii) Need not be, hence false

(iv) Two vectors having same magnitude are collinear Need not be, hence false.