If two vectors \(\vec{A}\) and \(\vec{B}\) having equal magnitude \(R\) are inclined at angle \(\theta\), then: [JEE Mai…

\(|\vec{A}-\vec{B}|=2 R \cos \left(\frac{\theta}{2}\right)\)

\(|\vec{A}+\vec{B}|=2 R \cos \left(\frac{\theta}{2}\right)\)

\(|\vec{A}-\vec{B}|=\sqrt{2} R \sin \left(\frac{\theta}{2}\right)\)

\(|\vec{A}+\vec{B}|=2 R \sin \left(\frac{\theta}{2}\right)\)