Question:medium

Position vector of \( P \) and \( Q \) are \( \hat{i} + 3\hat{j} - 7\hat{k} \) and \( 5\hat{i} - 2\hat{j} + 4\hat{k} \) respectively. Then the cosine of the angle between \( \overrightarrow{PQ} \) and the y-axis is

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When finding the cosine of the angle between two vectors, remember to use the formula \( \cos \theta = \frac{\overrightarrow{A} \cdot \overrightarrow{B}}{|\overrightarrow{A}| |\overrightarrow{B}|} \).
Updated On: May 5, 2026
  • \( \frac{4}{\sqrt{162}} \)
  • \( \frac{5}{\sqrt{162}} \)
  • \( \frac{5}{\sqrt{162}} \)
  • \( \frac{4}{\sqrt{162}} \)
Show Solution

The Correct Option is C

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