state gov RPSC 2nd Grade Senior Teacher Mock Test Series 2025 Mathematics Vector Algebra Types of Vectors
Given \(\rm \vec A = 2\hat i - \hat j + 2\hat k\) and \(\rm \vec B = -\hat i - 2\hat j + 2\hat k\) (î, ĵ and k̂ are unit vectors along x, y & z axes respectively). The unit vector in the direction of \(\rm \vec A -\vec B\) is:
1
\(\rm \frac{\hat k}{\sqrt{10}}\)
2
\(\rm \frac{3\hat i}{\sqrt{10}}\)
3
\(\rm \frac{3\hat i+\hat j}{\sqrt{10}}\)
4
\(\rm \frac{-3\hat i+\hat k}{\sqrt{10}}\)
5
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