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Vector Algebra — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsVector Algebra2 Marks
Question
Find the value of x for which $x\left( {\hat i + \hat j + \hat k} \right)$ is a unit vector.
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Answer

As $x$$\left( {\hat i + \hat j + \hat k} \right)$ is a unit vector, therefore, $ \left| {x\left( {\hat i + \hat j + \hat k} \right)} \right| = 1 \Rightarrow x\sqrt {1 + 1 + 1} = 1 \Rightarrow x = \frac{1}{{\sqrt 3 }} \\ $

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