Question:medium
A unit vector parallel to the straight line \( \frac{x - 2}{3} = \frac{3 + y}{-1} = \frac{z - 2}{-4} \) is:
A unit vector parallel to the straight line \( \frac{x - 2}{3} = \frac{3 + y}{-1} = \frac{z - 2}{-4} \) is:
Show Hint
A unit vector and its negative are both parallel to the same line. If your calculated vector isn't in the options, try multiplying it by -1.
Updated On: May 6, 2026
- \( \frac{1}{\sqrt{26}}(3\hat{i} - \hat{j} + 4\hat{k}) \)
- \( \frac{1}{\sqrt{26}}(\hat{i} + 3\hat{j} - \hat{k}) \)
- \( \frac{1}{\sqrt{26}}(3\hat{i} - \hat{j} - 4\hat{k}) \)
- \( \frac{1}{\sqrt{26}}(3\hat{i} + \hat{j} + 4\hat{k}) \)
- \( \frac{1}{\sqrt{26}}(\hat{i} - 3\hat{j} + 4\hat{k}) \)
Show Solution
The Correct Option is C
Solution and Explanation
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