CBSE Class 12 · Mathematics
Vector algebra
10 practice questions, each with the answer and an explanation.
Practise Vector algebra now
Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.
All 10 questions
- Find the magnitude of the vector .
- Find the magnitude of the vector .
- Find the magnitude of the vector .
- Find the magnitude of the vector .
- If are three mutually perpendicular unit vectors, what is the value of ?
- If a, b, and c are unit vectors such that a + b + c = 0, what is the value of (a · b + b · c + c · a)?
- Find the area of a parallelogram whose diagonals are determined by vectors d1 = 3 i + j - 2 k and d2 = i - 3 j + 4 k.
- What is the projection of the vector a = 2 i + 3 j + 2 k on the vector b = i + 2 j + k?
- Find the angle θ between vectors a = i + j - k and b = i - j + k.
- If vectors 2 i - j + k, i + 2 j - 3 k, and 3 i + λ j + 5 k are coplanar, find the value of λ.
Keep practising
More CBSE Class 12 topics
- Electrostatics and Electromagnetism20 questions
- Optics and Modern Physics20 questions
- Solutions, Electrochemistry and Kinetics20 questions
- Inorganic and Organic Functional Groups20 questions
- Algebra and Calculus19 questions
- Vectors, 3D Geometry and Probability19 questions
- Matrices and determinants17 questions
- States of matter17 questions