Vector and 3D | JEE Main 2025 Solution

JEE MAIN 2025

02-04-2025 SHIFT-1

Question

If $\vec a$ is a nonzero vector such that its projections on the vectors $2\hat i - \hat j + 2\hat k,\hat i + 2\hat j - 2\hat k$ and $\hat k$ are equal, then a unit vector along $\vec a$ is :

Select the correct option:

$\frac{1}{{\sqrt {155} }}( - 7\hat i + 9\hat j + 5\hat k)$

$\frac{1}{{\sqrt {155} }}(7\hat i + 9\hat j + 5\hat k)$

$\frac{1}{{\sqrt {155} }}(7\hat i + 9\hat j - 5\hat k)$

$\frac{1}{{\sqrt {155} }}( - 7\hat i + 9\hat j - 5\hat k)$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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