What should be the angle theta between two ve | vedclass

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(A) The magnitude of the resultant vector $\vec{R}$ of two vectors $\vec{A}$ and $\vec{B}$ is given by the formula:$R = \sqrt{A^2 + B^2 + 2AB \cos 	h

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(A) The magnitude of the resultant vector $\vec{R}$ of two vectors $\vec{A}$ and $\vec{B}$ is given by the formula:$R = \sqrt{A^2 + B^2 + 2AB \cos 	heta}$For the magnitude $R$ to be maximum,the term $\cos 	heta$ must be maximum.The maximum value of $\cos 	heta$ is $1$,which occurs when $	heta = 0^{\circ}$.Substituting $	heta = 0^{\circ}$ into the formula:$R_{\max} = \sqrt{A^2 + B^2 + 2AB(1)} = \sqrt{(A+B)^2} = A + B$.Therefore,the angle $	heta$ must be $0^{\circ}$.

What should be the angle $\theta$ between two vectors $\vec{A}$ and $\vec{B}$ so that the magnitude of the resultant vector $\vec{R}$ is maximum (in $^{\circ}$)?

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