Published by:
CGP EDU Academic Team
Published on: September 12, 2026
If \vec{A} and \vec{B} are perpendicular vectors and vector \vec{A} = 5\hat{i} + 7\hat{j} - 3\hat{k} and \vec{B} = 2\hat{i} + 2\hat{j} - a\hat{k}. The value of a is
Text Solution
Verified by ExpertsThe correct answer is:
D
For perpendicular vector \(\vec{A} \cdot \vec{B} = 0\)
⇒ ⇒ \(\left( 5\hat{i} + 7\hat{j} - 3\hat{k} \right) \cdot \left( 2\hat{i} + 2\hat{j} - a\hat{k} \right) = 0\)
⇒ ⇒ \(10 + 14a + 3a = 0 \Rightarrow\) a = -8
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 2\hat{i} + 3\hat{j} + 8\hat{k} is perpendicular to the vector \(4\hat{i} - 4\hat{j} + \…
If two vectors 2\hat{i} + 3\hat{j} - \hat{k} and \(-4\hat{i} - 6\hat{j} - \lambda \hat{k}\) are par…
A body, acted upon by a force of 50 N is displaced through a distance 10 meter in a direction makin…
A particle moves from position 3\hat{i} + 2\hat{j} - 6\hat{k} to 14\hat{i} + 13\hat{j} + 9\hat{k} d…
If for two vector \vec{A} and \vec{B} , sum \(\left(\vec{A} + \vec{B}\right)\) is perpendicular to …
The angle between the vectors \vec{A} and \vec{B} is \(\theta.\) The value of the triple product \(…