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Physics · MOTION IN A PLANE
हिन्दीReferring to the vector triangle diagram shown for the head-to-tail addition method, if vector \( \mathbf{A} \) has a magnitude of \( 12\text{ units} \) along the horizontal and vector \( \mathbf{B} \) (perpendicular to \( \mathbf{A} \)) has a magnitude of \( 5\text{ units} \), find the magnitude of the resultant vector \( \mathbf{R} = \mathbf{A} + \mathbf{B} \).
Correct answer · Option 1
\( 13\text{ units} \)
Explanation
In a right-angled triangle formed by perpendicular vectors, \( R = \sqrt{A^2 + B^2} = \sqrt{12^2 + 5^2} = \sqrt{144 + 25} = 13\text{ units} \).
