WBJEE · Physics · Mathematics in Physics
Given \(\overrightarrow{\mathrm{A}}=2 \hat{\mathrm{i}}+3 \hat{\mathrm{j}}\) and \(\overrightarrow{\mathrm{B}}=\hat{\mathrm{i}}+\hat{\mathrm{j}}\). The component of vector \(\overrightarrow{\mathrm{A}}\) along vector \(\overrightarrow{\mathrm{B}}\) is
- A \(\frac{1}{\sqrt{2}}\)
- B \(\frac{3}{\sqrt{2}}\)
- C \(\frac{5}{\sqrt{2}}\)
- D \(\frac{7}{\sqrt{2}}\)
Answer & Solution
Correct Answer
(C) \(\frac{5}{\sqrt{2}}\)
Step-by-step Solution
Detailed explanation
Hints: Component of \(\vec{A}\) along \(\vec{B}=\vec{A} \cdot \frac{\vec{B}}{|\vec{B}|}\) Component of \(\overrightarrow{\mathrm{A}}\) along \(\overrightarrow{\mathrm{B}}=\frac{5}{\sqrt{2}}\)
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