Class 11 Physics question on Vectors

physics

#1

Two vectors a and b inclined to each other at an angle θ.
Using parallelogram of vector addition find the magnitude and direction of their resultant.
Discuss when (i) θ = 0 (ii) θ = 180 (iii) θ = 90.


#2

As per Parallelogram method of vector addition, the resultant vector R can be represented as follows.

|R| = Sqrt (A2 + B2 + 2 A B cosθ )

(i) θ = 0 --> The vectors simply add up
(ii) θ = 180 --> The vectors subtract
(iii) θ = 90. --> Hypotenuse.