Published by:
CGP EDU Academic Team
Published on: September 12, 2026
Three vectors \vec{a}, \vec{b} and \vec{c} satisfy the relation \(\vec{a} \cdot \vec{b} = 0\) and \(\vec{a} \cdot \vec{c} = 0.\) The vector \vec{a} is parallel to
Text Solution
Verified by ExpertsThe correct answer is:
D
\(\vec{a} \cdot \vec{b} = 0\) i.e. \vec{a} and \overline{b} will be perpendicular to each other
\(\vec{a} \cdot \vec{c} = 0\) i.e. \vec{a} and \hat{c} will be perpendicular to each other
\(\vec{b} \times \vec{c}\) will be a vector perpendicular to both \overline{b} and \(\frac{t}{c}\)
So \vec{a} is parallel to \(\vec{b} \times \vec{c}\)
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 \(…