If A = (2i + 3j - k) m and B = (i + 2j + 2k) m. The magnitude of component of vector A along vector B will be ____________ m. Numerical answer type. Work it out, then open the answer.

Answer: 2. Component of A along B = (A · B)/(|B|). A · B = 2 + 6 - 2 = 6, |B| = √(1 + 4 + 4) = 3 Component = 6/3 = 2 m

If A = (2i + 3j - k) m and B = (i + 2j + 2k) m. The magnitude of… | JEE Main 2022 (26 Jul, Shift 2)

Q19JEE Main 2022 · 26 JUL · SHIFT 2Easy

Scalar (Dot) Product

If $\vec{A} = (2\hat{i} + 3\hat{j} - \hat{k})\text{ m}$ and $\vec{B} = (\hat{i} + 2\hat{j} + 2\hat{k})\text{ m}$ . The magnitude of component of vector $\vec{A}$ along vector $\vec{B}$ will be ____________ $\text{m}$ .

Numerical answer type. Work it out, then open the answer.

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Answer: 2

Component of $\vec{A}$ along $\vec{B}$ $= \frac{\vec{A} \cdot \vec{B}}{|\vec{B}|}$ .
$\vec{A} \cdot \vec{B} = 2 + 6 - 2 = 6$ , $|\vec{B}| = \sqrt{1 + 4 + 4} = 3$
Component $= \frac{6}{3} = 2\text{ m}$

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Scalar (Dot) Product question from JEE Main 2022 (26 Jul, Shift 2)

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