Chapter test · Mathematics · Class 12

Vector Algebra

This test asks up to 25 questions on the real pattern and marking, and hands you a concept-by-concept report the moment you finish. It covers 3 key concepts: Vector fundamentals, Dot product and Cross product and applications.

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Questions

Up to 25 — 20 MCQ + 5 numerical

Time

60 minutes, fixed

Marking

JEE Main: +4 / −1 on A, +4 / 0 on B

Class

Class 12 · Mathematics

Report

Concept breakdown + cognitive demand, instantly

What this test covers

3 key concepts, tested the way the exam tests them.

Mapped from EduPeak’s learning framework for this chapter — the same map your report scores you against.

1
Vector fundamentals
- Applies vector addition, section formula and linear combinations.Apply & Analyse
2
Dot product
- Applies scalar products to angles, projections and perpendicularity.Apply & Analyse
3
Cross product and applications
- Applies vector products to areas and scalar triple product to volume/coplanarity.Apply & Analyse

Level of thinking demanded3 learning objectives

Recall & understandingApply & AnalyseHigher-order

This chapter is tested mostly at the Apply & Analyse level.

In your board

Where this chapter sits in your syllabus.

The same EduPeak test, found under your own textbook’s chapter name.

CBSE
Vector Algebra
✓ in your syllabus
Gujarat (GSEB)
Vector Algebra
✓ in your syllabus
Madhya Pradesh (MPBSE)
Vector Algebra
✓ in your syllabus
Rajasthan (RBSE)
Vector Algebra
✓ in your syllabus
Bihar (BSEB)
Unit-IV Vectors and Three-dimensional Geometry — Vectors
✓ in your syllabus
Uttar Pradesh (UPMSP)
सदिश तथा त्रिविमीय ज्यामिति - सदिश / Vectors
✓ in your syllabus
ISC (CISCE)
Vector Algebra
✓ in your syllabus
Cambridge International A Level
Vectors (P3)
✓ in your syllabus
IB Diploma Programme (HL)
AHL 3.12 Concept of a vector; position and displacement vectors (Topic 3: Geometry and trigonometry) · AHL 3.13 The scalar (dot) product (Topic 3: Geometry and trigonometry) · AHL 3.14 Vector equation of a line in two and three dimensions (Topic 3: Geometry and trigonometry) · AHL 3.16 The vector (cross) product (Topic 3: Geometry and trigonometry)
✓ in your syllabus

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Try one

A sample question from this chapter.

Drawn fresh from the chapter’s bank on every visit. Reveal the worked solution when you are ready — the way your report explains every question.

SampleMathematics· MCQ+4 / -1

Let

λ \in Z

a = λ \hat{i} + \hat{j} - \hat{k}

and

b = 3 \hat{i} - \hat{j} + 2 \hat{k}

. Let

c

be a vector such that

(a + b + c) \times c = 0

a \cdot c = - 17

and

b \cdot c = - 20

. Then

c \times (λ \hat{i} + \hat{j} + \hat{k})^{2}

is equal to:

A. $46$
B. $53$
C. $62$
D. $49$

Worked, step by step — the way your report explains every question. Loads on request.

In the real test, every question is fresh from the chapter’s bank — and your report shows the worked solution for each one.

Keep climbing

Related Class 12 Mathematics chapters

Sets, Relations and Functions Matrices and Determinants Limits, Continuity and Differentiability Integral Calculus Differential Equations Three Dimensional Geometry

Good to know

About this chapter test

How is the test scored?

Exactly like JEE Main: +4 for a correct answer, −1 for a wrong MCQ, and no negative marking on numericals. Your total, pacing and concept-by-concept accuracy appear in your report the moment you submit.

Which class is Vector Algebra in?

Vector Algebra sits in Class 12 Mathematics here. Pick your class when you start — the whole chapter list is organised the same way.

Can I take it more than once?

Yes — each attempt draws from the chapter’s bank, and your report tracks your best and your progress across attempts.

Is it free?

Free chapter tests are included with every account, and each one comes with the complete report. No card needed to start.

25 questions. 60 minutes. One honest answer.

Find out exactly where you stand on this chapter — today.

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