Question:medium
A unit vector in XY-plane making an angle \(45^\circ\) with \(\hat{i} + \hat{j}\) and an angle \(60^\circ\) with \(3\hat{i} - 4\hat{j}\) is:
A unit vector in XY-plane making an angle \(45^\circ\) with \(\hat{i} + \hat{j}\) and an angle \(60^\circ\) with \(3\hat{i} - 4\hat{j}\) is:
Show Hint
To find unit vectors at given angles, use trigonometric identities and solve using the dot product.
Updated On: Nov 28, 2025
- \(\frac{13}{14} \hat{i} + \frac{1}{14} \hat{j}\)
- \(\frac{1}{14} \hat{i} + \frac{13}{14} \hat{j}\)
- \(\frac{13}{14} \hat{i} - \frac{1}{14} \hat{j}\)
- \(\frac{1}{14} \hat{i} - \frac{13}{14} \hat{j}\)
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