Class 12 Maths Chapter 10 Vector Algebra MCQs are available here with answers. All the questions are prepared as per the latest exam pattern. MCQ questions are formulated by our subject teachers based on the CBSE syllabus (2022-2023) and the NCERT curriculum. Solving Vector algebra Class 12 Maths MCQs questions will help students to prepare and score good marks in the Class 12 Maths board exam.
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MCQs for Class 12 Maths Vector Algebra
Find the MCQs for class 12 Maths Chapter 10 Vector algebra with solutions here.
Download PDF – Chapter 10 Vector Algebra MCQs
Q.1: The position vector of the point (1, 2, 0) is:
A. i + j +k
B. i + 2j + k
C. i + 2j
D. 2j + k
Answer: C. i + 2j
Q.2: The magnitude of the vector 6i + 2j + 3k is equal to:
A. 5
B. 1
C. 7
D. 12
Answer: C. 7
Explanation: Vector, V → 6i + 2j + 3k
Magnitude of the vector, V;
|V| = √(62 + 22 + 32) = √(36+4+9) = √49 = 7
Q.3: What is the magnitude of vector -3i + 5j?
A. √34
B. √32
C. √8
D. √16
Answer: A. √34
Explanation: Vector, V = -3i + 5j
Magnitude of the vector, V;
|V| = √((-3)2 + 52) = √(9+25) = √34
Q.4: If |a × b| = 4 and |a.b| = 2, then |a|² |b|² is equal to:
A. 4
B. 6
C. 20
D. 2
Answer: 20
Q.5: A point from a vector starts is called ____ and where it ends is called its ____.
A. terminal point, endpoint.
B. initial point, terminal point
C. origin, endpoint
D. initial point, endpoint
Answer: B. initial point, terminal point
Q.6: Time period is a ________.
A. Vector quantity
B. Scalar quantity
C. Neither scalar nor vector
D. None of these
Answer: B. Scalar quantity
Q.7: What is the magnitude of vector, v = 1/√3 i + 1/√3 j + 1/√3 k?
A. 0
B. 1
C. 2
D. 3
Answer: B. 1
Explanation: Given, v = 1/√3 i + 1/√3 j + 1/√3 k
Magnitude of v = 1/√3 i + 1/√3 j + 1/√3 k;
|v| = √((1/√3)2 + (1/√3)2 + (1/√3)2) = √(1+1+1) = √3
Q.8: Can two different vectors have the same magnitude?
A. Yes
B. No
C. Cannot be determined
D. None of the above
Answer: A. Yes
Explanation: Two vectors can have the same magnitude.
Magnitude of vector i – 2j + k is equal to magnitude of vector 2i + j – k.
Q.9: What is the value of x and y, if 2i + 3j = xi + yj?
A. 4, 9
B. 3, 2
C. 2, 3
D. 0, 0
Answer: C. 2, 3
Explanation: Since,
2i + 3j = xi + yj
On comparing the two equations, we have;
x = 2 and y = 3
Q.10: The scalar product of 5i + j – 3k and 3i – 4j + 7k is:
A. 15
B. -15
C. 10
D. -10
Answer: -10
Explanation: Let A = 5i + j – 3k
B = 3i – 4j + 7k
A . B = (5i + j – 3k).(3i – 4j + 7k)
= 5 · 3 + 1 · (-4) + (-3) · 7
= 15 – 4 – 21
= -10
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