Question

State the parallelogram law of vector addition. Derive an expression for magnitude and direction of resultant of the two vectors.

Answer 1

The addition of two vector A and vector B is resultant vector R

               

And R = ( A² + B²+ 2AB CosΘ)^1/2

And tan β = B SinΘ/ ( A + B CosΘ) ,

Where Θ is the angle between vector A and vector B And β is the angle which vector R makes with the direction of  vector A.