Vector Algebra: Class 12 Mathematics (Bihar Board) important questions and practice
Vector Algebra is chapter 10 of 13 in Bihar Board Class 12 Mathematics. Below are the topics the paper draws from, the question types that come up again and again, and a free practice test on this chapter alone.
Topics in this chapter
- Types of vectors, position vector, components and magnitude
- Addition of vectors and multiplication by a scalar; section formula
- Scalar (dot) product and projection of a vector
- Vector (cross) product and area of a triangle or parallelogram
- Angle between vectors; unit vectors perpendicular to two given vectors
What examiners usually ask
- Find the projection of the vector a = 2i + 3j + 2k on b = i + 2j + k
- Find the area of the triangle with vertices A(1, 1, 2), B(2, 3, 5) and C(1, 5, 5) using vectors
- If |a| = 3, |b| = 4 and a . b = 6, find |a x b| and the angle between a and b
Exam tip
Write the cross product as a 3x3 determinant each time and remember |a x b|^2 + (a . b)^2 = |a|^2 |b|^2, which converts between dot and cross data; the unit vector perpendicular to two vectors is a x b divided by its magnitude.
Vector Algebra on other boards and exams
Frequently asked questions
What are the important questions from Vector Algebra for Bihar Board Class 12?
The question types listed above repeat most often in Bihar Board Class 12 Mathematics papers for this chapter. Practise them with the chapter test and then attempt them inside a full previous-year paper under time.
Is Vector Algebra in the Bihar Board Class 12 Mathematics syllabus?
Yes. Vector Algebra is part of the current Bihar Board Class 12 Mathematics syllabus, as listed on this site from the prescribed textbook.
Can I practise Vector Algebra MCQs in Hindi?
Yes. The chapter test and explanations are available in Hindi and English, with an AI doubt solver for any question.