Question

If the angle between two vectors of equal magnitude p is theta.the magnitude of resultant vector

Answer 1

Hey! Here's your answer!

The 2 vectors be a and b and the resultant be c. But a = b

By cosine rule,

c^2 = a^2 + a^2 + 2*a^2*cos θ

So,

c = √2a^2 + 2*a^2*cos θ

  = √2a^2(1 + cos θ)

  = a√(2)(1 + cos θ)

Hope this helps! :)

Answer 2

Answer:

Explanation:

Hey! Here's your answer!

The 2 vectors be a and b and the resultant be c. But a = b

By cosine rule,

c^2 = a^2 + a^2 + 2*a^2*cos θ

So,

c = √2a^2 + 2*a^2*cos θ

= √2a^2(1 + cos θ)

= a√(2)(1 + cos θ)