Question:
A vector perpendicular to the vector $\left(4\hat{i} - 3\hat{j}\right)$ is
A vector perpendicular to the vector $\left(4\hat{i} - 3\hat{j}\right)$ is
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Vectors perpendicular to vectors in xy-plane are along z-axis or its multiples.
Updated On: Jun 4, 2025
- $4\hat{i} + 3\hat{j}$
- $6\hat{i}$
- $3\hat{i} - 4\hat{j}$
- $7\hat{k}$
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The Correct Option is D
Solution and Explanation
Vector $\left(4\hat{i} - 3\hat{j}\right)$ lies in the xy-plane. A vector perpendicular to this vector must be orthogonal, which can be any vector perpendicular to the xy-plane, i.e., along the z-axis. Hence, the vector perpendicular is: \[ 7\hat{k} \]
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