Question

If sides of regular hexagon ABCDEF, vector AB and vector BC are vector a and vector b respectively, then vector AF = ____

(A) vector b – vector a

(B) vector a – vector b

(C) vector a + vector b

(D) vector a   

Answer 1

The correct option (A) vector b – vector a   

Explanation:

here vector AB + vector BC + vector CD = vector AD

∴ vector a + vector b + vector CD = 2vector BC ......... vector AD = 2vector BC

∴ vector a + vector b + vector CD = 2vector b

∴ vector CD = vector b – vector a

∴ vector AF = vector b – vector a