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Vector Algebra — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsVector Algebra1 Mark
MCQ
The value of $p$ for which $p(\hat{i}+\hat{j}+\hat{k})$ is a unit vector is
  • A
    $0$
  • B
    $\frac{1}{\sqrt{3}}$
  • C
    1
  • D
    $\sqrt{3}$
✓

Answer

Let $\vec{a}=(\hat{i}+\hat{j}+\hat{k})$
So, unit vector of $\vec{a}=\frac{\hat{i}+\hat{j}+\hat{k}}{\sqrt{1+1+1}}=\frac{1}{\sqrt{3}}(\hat{i}+\hat{j}+\hat{k})$
$\therefore \quad$ The value of $p$ is $\frac{1}{\sqrt{3}}$.

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