$\vec{A}$ and $\vec{B}$ are two non-zero vectors inclined at an angle ' $\theta^{\prime} .$ â and $\hat{b}$…

$\vec{A}$ and $\vec{B}$ are two non-zero vectors inclined at an angle ' $\theta^{\prime} .$ â and $\hat{b}$ are unit vectors along $\vec{A}$ and $\vec{B}$ respectively. The component of $\vec{A}$ in the direction of $\vec{B}$ is
  1. $\frac{\overrightarrow{\mathrm{A}} \cdot \overrightarrow{\mathrm{B}}}{\mathrm{B}}$
  2. $\frac{\overrightarrow{\mathrm{A}} \times \overrightarrow{\mathrm{B}}}{\mathrm{A}}$
  3. $\hat{a} \cdot \vec{B}$
  4. $\overrightarrow{\mathrm{A}} \cdot \hat{\mathrm{b}}$

Solution

Component of $\vec{A}$ $\text {is } \hat{b} \cdot \vec{A}$ ~

Asked in: MHT CET 2020 (13 Oct Shift 1)

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