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Vector — JEE physics STD 12 Science — Question

CBSE BoardEnglish MediumSTD 12 ScienceJEE physicsVector1 Mark
MCQ
The expression $\left(\frac{1}{\sqrt{2}} \hat{i}+\frac{1}{\sqrt{2}} \hat{j}\right)$ is a
  • ✓
    Unit vector
  • B
    Null vector
  • C
    Vector of magnitude $\sqrt{2}$
  • D
    Scalar
✓

Answer

Correct option: A.
Unit vector
(a) $\vec{P}=\frac{1}{\sqrt{2}} \hat{i}+\frac{1}{\sqrt{2}} \hat{j} \therefore|\vec{P}=\sqrt{\left(\frac{1}{\sqrt{2}}\right)^2+\left(\frac{1}{\sqrt{2}}\right)^2}=1$$\therefore$ lt is a unit vector.

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