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CGP EDU Academic Team
Published on: September 12, 2026
If \(\mathbf{A} = 3\hat{i} + 4\hat{j}\) and \(\mathbf{B} = 7\hat{i} + 24\hat{j}\) , the vector having the same magnitude as \(\mathbf{B}\) and parallel to A is
Text Solution
Verified by ExpertsThe correct answer is:
D
\(|\mathbf{B}| = \sqrt{7^{2} + (24)^{2}} = \sqrt{625} = 25\)
Unit vector in the direction of A will be \(\hat{A} = \frac{3\hat{i} + 4\hat{j}}{5}\)
So required vector \(= 25 \left(\frac{3\hat{i} + 4\hat{j}}{5}\right) = 15\hat{i} + 20\hat{j}\)
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