If the projection of 2i + 4j - 2k on i + 2j + is zero. Then, the value of α will be ___________. Numerical answer type. Work it out, then open the answer.

Answer: 5. Projection zero means the dot product is zero. 2(1) + 4(2) - 2α = 0 ⇒ 10 = 2α Answer: α = 5

If the projection of 2i + 4j - 2k on i + 2j + is zero. Then, the… | JEE Main 2022 (28 Jul, Shift 1)

Q18JEE Main 2022 · 28 JUL · SHIFT 1Easy

Scalar (Dot) Product

If the projection of $2\hat{i} + 4\hat{j} - 2\hat{k}$ on $\hat{i} + 2\hat{j} + \alpha\hat{k}$ is zero. Then, the value of $\alpha$ will be ___________.

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

Show answer and solution

Answer: 5

Projection zero means the dot product is zero.
$2(1) + 4(2) - 2\alpha = 0 \Rightarrow 10 = 2\alpha$
Answer: $\alpha = 5$

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Scalar (Dot) Product question from JEE Main 2022 (28 Jul, Shift 1)

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