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Vector — JEE physics STD 12 Science — Question

CBSE BoardEnglish MediumSTD 12 ScienceJEE physicsVector1 Mark
MCQ
The unit vector along $\hat{i}+\hat{j}$ is
  • A
    $\hat{k}$
  • B
    $\hat{i}+\hat{j}$
  • ✓
    $\frac{\hat{i}+\hat{j}}{\sqrt{2}}$
  • D
    $\frac{\hat{i}+\hat{j}}{2}$
✓

Answer

Correct option: C.
$\frac{\hat{i}+\hat{j}}{\sqrt{2}}$
(c) $\hat{R}=\frac{\vec{R}}{|R|}=\frac{\hat{i}+\hat{j}}{\sqrt{1^2+1^2}}=\frac{1}{\sqrt{2}} \hat{i}+\frac{1}{\sqrt{2}} \hat{j}$

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