Projection $= \frac{\vec{a} \cdot \vec{b}}{|\vec{b}|} = \frac{2-6+12}{\sqrt{1+4+4}} = \frac{8}{3}$
Back to JEE Main 2024 Vectors & 3D Geometry
JEE Main 2024 — Mathematics Vectors & 3D Geometry
medium
mcq
2024
Official previous-year question
Verified 30 May 2026.
Question
The projection of vector $\vec{a} = 2\hat{i} - 3\hat{j} + 6\hat{k}$ on $\vec{b} = \hat{i} + 2\hat{j} + 2\hat{k}$ is:
Options
- A
$\frac{8}{3}$
- B
$\frac{2}{3}$
- C
$\frac{4}{3}$
- D
$\frac{10}{3}$
Solution
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