Question

Two equal vector have a resultant is √3 times to either vector. The angle between them - *

Answer 1

Answer :

Two equal vector have a resultant is √3 times to either vector.

We have to find angle between them.

$\star$ By triangle law or parallelogram law of vector addition, the magnitude of resultant R at two vectors P and Q inclined to each other at angle θ, is given by

• R² = P² + Q² + 2PQ cosθ

ATQ both vectors are of equal magnitude.

• P = Q = x

Resultant of both vectors is √3 times of either vector.

• R = √3x

By substituting the values, we get

➝ R² = P² + Q² + 2PQ cosθ

➝ (√3x)² = x² + x² + 2(x)(x) cosθ

➝ 3x² = 2x² + 2x² cosθ

➝ x² = 2x² cosθ

➝ cosθ = 1/2

➝ θ = 60° or π/3 rad