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Mathematics · JEE Main

Vectors & 3D Geometry

4 practice questions with a worked solution for each. Tap an option to see instantly if you are right.

3MCQ1Numerical

Start with question 1

1If vectors $\vec{a} = \hat{i} + \hat{j} + \hat{k}$ , $\vec{b} = \hat{i} - \hat{j} + 2\hat{k}$ and $\vec{c} = x\hat{i} + \hat{j} - \hat{k}$ are coplanar, then $x$ is equal to:JEE Main/MCQ/Medium
2The perpendicular distance of the point $(1, 2, 3)$ from the plane $2x - y + 2z = 9$ is:JEE Main/MCQ/Medium
3If $\vec{a} = 2\hat{i} + 3\hat{j} - \hat{k}$ and $\vec{b} = \hat{i} - 2\hat{j} + 4\hat{k}$ , the value of the dot product $\vec{a} \cdot \vec{b}$ is:JEE Main/Numerical/Medium
4If $\vec{a} = \hat{i} + \hat{j}$ and $\vec{b} = \hat{j} + \hat{k}$ , the angle between $\vec{a}$ and $\vec{b}$ is:JEE Main/MCQ/Medium

JEE Main question paper PDF

This chapter includes JEE Main questions. Open a shift to read the paper, or download the PDF.

JEE Main 2025 Apr 2 Shift 1 question paper

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Other Mathematics chapters

Algebra 6 Coordinate Geometry 5 Calculus 4 Integral Calculus 4 Matrices & Determinants 3 Statistics & Probability 2 Trigonometry 1

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