What will be the projection of vector A = i + j + k on vector B = i + j? (a) √(2)(i + j + k) (b) (i + j) (c) √(2)(i + j) (d) 2(i + j + k)

Answer: (b). Vector projection of A on B: ((A · B)/(B²))B. A · B = 2, B² = 2. Projection = i + j, answer (b).

What will be the projection of vector A = i + j + k on vector B = i +… | JEE Main 2021 (22 Jul, Shift 2)

Q20JEE Main 2021 · 22 JUL · SHIFT 2Easy

Scalar (Dot) Product

What will be the projection of vector $\vec{A} = \hat{i} + \hat{j} + \hat{k}$ on vector $\vec{B} = \hat{i} + \hat{j}$ ?

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Answer: (b)

Vector projection of $\vec{A}$ on $\vec{B}$ : $\left(\frac{\vec{A} \cdot \vec{B}}{B^2}\right)\vec{B}$ .
$\vec{A} \cdot \vec{B} = 2$ , $B^2 = 2$ .
Projection $= \hat{i} + \hat{j}$ , answer (b).

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