Question:
If \(\bar{a}=2\hat{i}+3\hat{j}-4\hat{k}\) and \(\bar{b}=\hat{i}+3\hat{j}+2\hat{k}\), then a unit vector in the direction of \(\bar a +\bar b\) is
If \(\bar{a}=2\hat{i}+3\hat{j}-4\hat{k}\) and \(\bar{b}=\hat{i}+3\hat{j}+2\hat{k}\), then a unit vector in the direction of \(\bar a +\bar b\) is
Updated On: May 31, 2024
- \(\frac{1}{6}(3\hat{i}+6\hat{j}-2\hat{k})\)
- \(\frac{1}{\sqrt{70}}(3\hat{i}+6\hat{j}-5\hat{k})\)
- \(\frac{1}{7}(3\hat{i}+6\hat{j}-2\hat{k})\)
- \(\frac{1}{\sqrt{50}}(3\hat{i}+6\hat{j}-3\hat{k})\)
- \(\frac{1}{\sqrt{6}}(\hat{i}+2\hat{j}-\hat{k})\)
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The Correct Option is C
Solution and Explanation
The correct option is (C) : \(\frac{1}{7}(3\hat{i}+6\hat{j}-2\hat{k})\)
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