Question:medium
Let \( \theta \) be the angle between two vectors \( \vec{A} \) and \( \vec{B} \). If \( \hat{a}_\perp \) is the unit vector perpendicular to \( \vec{A} \), then the direction of \( \vec{B} - \vec{B} \sin \theta \hat{a}_\perp \) is:
Let \( \theta \) be the angle between two vectors \( \vec{A} \) and \( \vec{B} \). If \( \hat{a}_\perp \) is the unit vector perpendicular to \( \vec{A} \), then the direction of \( \vec{B} - \vec{B} \sin \theta \hat{a}_\perp \) is:
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When subtracting a vector’s perpendicular component from the original vector, the resultant vector is aligned with the direction of the vector from which the perpendicular component is subtracted.
Updated On: Nov 28, 2025
- along \( \vec{B} \)
- perpendicular to \( \vec{B} \)
- along \( \vec{A} \)
- perpendicular to \( \vec{A} \)
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