In NCERT Class 12 Mathematics Chapter 10, titled Vector Algebra, students are introduced to vectors, their properties, and operations. The chapter covers the representation of vectors, addition and subtraction of vectors, scalar and vector products, and the application of vectors in geometry. These concepts are crucial for solving real-world problems in physics, engineering, and mathematics.
This article provides a comprehensive resource to help students excel in Class 12 Mathematics Chapter 10. It includes sample MCQs and subjective questions for CBSE and CUET, along with downloadable PDFs for Class 12 Mathematics Chapter 10 MCQs and previous year questions for extensive practice.
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NCERT Class 12 Mathematics Chapters
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Class 12 Mathematics Chapter 10 MCQs
This section includes previous years' CUET and CBSE MCQs, along with curated questions by subject experts. Below are 5 sample MCQs for Class 12 Mathematics Chapter 10: Vector Algebra. For the full set of 50 MCQs, download the PDF using the link below.
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The magnitude of the vector is (a) 1 (b) 5 (c) 7 (d) 12
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A unit vector along the vector is : |
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Two vectors = and = are collinear if (a) a 1b 1 + a 2b 2 + a 3b 3 = 0 (b) (c) a1 = b1, a2 = b2, a3 = b3 (d) a1 + a2 + a3 = b1 + b2 + b3
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If in Δ𝐴𝐵𝐶, = 2 and =3 , then is (a) 2 + 3 (b) 2 − 3 (c) 3 − 2 (d) −2 − 3 |
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ABCD is a rhombus whose diagonals intersect at E. Then equals |
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Class 12 Mathematics Chapter 10 Subjective Questions Without Solutions6
This section includes previous years' CBSE subjective questions (2 marks and above) and expert-curated questions. Below are 5 sample subjective questions for Class 12 Mathematics Chapter 10: Vector Algebra. For the complete set of subjective questions, download the PDF using the link below.
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1.
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Find all the vectors of magnitude 3√3 which are collinear to vector . |
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In a parallelogram PQRS, = and = Find |
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Position vectors of the points A, B and C as shown in the figure below are respectively. If = , express in terms of and . |
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Find all the possible vectors of magnitude 5√3 which are equally inclined to the coordinate axes.
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Using vectors, prove that the points (2, – 1, 3), (3, – 5, 1) and (– 1, 11, 9) are collinear.
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Class 12 Mathematics Chapter 10 Sub Topics
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Chapter Name
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Sub Topic Name
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Vector Algebra
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10.1 Introduction to Vectors
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10.2 Representation of Vectors
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10.3 Addition and Subtraction of Vectors
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10.4 Scalar Multiplication of Vectors
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10.5 Scalar Product of Vectors
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10.6 Vector Product of Vectors
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10.7 Applications of Vector Algebra in Geometry
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Review of NCERT Class 12 Mathematics Chapter 10
NCERT Class 12 Mathematics Chapter 10, Vector Algebra, introduces students to the basics of vectors, their operations, and applications. It lays a foundation for understanding geometry and solving real-world problems using vector techniques. Students learn how to perform vector addition, scalar and vector products, and represent vectors geometrically. Mastering this chapter is essential for tackling advanced problems in mathematics, physics, and engineering.
By practicing the provided MCQs and subjective questions, students can strengthen their conceptual understanding and boost their preparation for CBSE, CUET, and other competitive exams.