Published by:
CGP EDU Academic Team
Published on: September 12, 2026
Which of the following is the unit vector perpendicular to \vec{A} and \vec{B}
\((a) \frac{\hat{A} \times \hat{B}}{AB \sin \theta} (b) \frac{\hat{A} \times \hat{B}}{AB \cos \theta} (c) \frac{\vec{A} \times \vec{B}}{AB \sin \theta} (d) \frac{\vec{A} \times \vec{B}}{AB \cos \theta}\)
Text Solution
Verified by ExpertsThe correct answer is:
C
Vector perpendicular to A and B, \(\vec{A} \times \vec{B} = AB \sin \theta \hat{n}\)
∴ ∴ Unit vector perpendicular to A and B
\(\hat{n} = \frac{\vec{A} \times \vec{B}}{|\vec{A}| \cdot |\vec{B}| \sin \theta}\)
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
If a vector \vec{p} making angles a , b , and g respectively with the X, Y and Z axes respect…
If the resultant of n forces of different magnitudes acting at a point is zero, then the minimum va…
Can the resultant of 2 vectors be zero
The sum of the magnitudes of two forces acting at point is 18 and the magnitude of their resultant …
A vector \vec{a} is turned without a change in its length through a small angle \(d\theta.\) The va…
Find the resultant of three vectors \overrightarrow{OA}, \overrightarrow{OB} and \vec{oc} shown in …