MCQ Questions for Class 12 Maths Chapter 10 Vector Algebra with Answers Set-B

Vector Algebra Class 12 Maths MCQs Questions with Answers

Check the below NCERT MCQ Questions for Class 12 Maths Chapter 10 Vector Algebra with Answers Pdf free download. MCQ Questions for Class 12 Maths with Answers were prepared based on the latest exam pattern. We have Provided Vector Algebra Class 12 Maths MCQs Questions with Answers to help students understand the concept very well.

Class 12 Maths Chapter 10 Quiz

Class 12 Maths Chapter 10 MCQ Online Test

You can refer to NCERT Solutions for Class 12 Maths Chapter 10 Vector Algebra to revise the concepts in the syllabus effectively and improve your chances of securing high marks in your board exams.

Vector Algebra Class 12 Maths MCQ online test

Q1.	According to the associative lass of addition of addition of s ector (\(\vec{a}\) + …….) + \(\vec{c}\) = …… + (\(\vec{b}\) + \(\vec{c}\))
	A. \(\vec{b}\), \(\vec{a}\)
	B. \(\vec{a}\), \(\vec{b}\)
	C. \(\vec{a}\), 0
	D. \(\vec{b}\), 0

Ans: \(\vec{b}\), \(\vec{a}\)

Q2.	Which one of the following can be written for (\(\vec{a}\) – \(\vec{b}\)) × (\(\vec{a}\) + \(\vec{b}\))
	A. \(\vec{a}\) × \(\vec{b}\)
	B. 2\(\vec{a}\) × \(\vec{b}\)
	C. \(\vec{a}\)² – \(\vec{b}\)
	D. 2\(\vec{b}\) × \(\vec{b}\)

Ans: 2\(\vec{a}\) × \(\vec{b}\)

Q3.	The points with position vectors (2. 6), (1, 2) and (a, 10) are collinear if the of a is
	A. -8
	B. 4
	C. 3
	D. 12

Ans: 3

Q4.	\|\(\vec{a}\) + \(\vec{b}\)\| = \|\(\vec{a}\) – \(\vec{b}\)\| then the angle between \(\vec{a}\) and \(\vec{b}\)
	A. \(\frac{π}{2}\)
	B. 0
	C. \(\frac{π}{4}\)
	D. \(\frac{π}{6}\)

Ans: \(\frac{π}{2}\)

Q5.	\|\(\vec{a}\) × \(\vec{b}\)\| = \|\(\vec{a}\).\(\vec{b}\)\| then the angle between \(\vec{a}\) and \(\vec{b}\)
	A. 0
	B. \(\frac{π}{2}\)
	C. \(\frac{π}{4}\)
	D. π

Ans: 0

Q6.	If ABCDEF is a regular hexagon then \(\vec{AB}\) + \(\vec{EB}\) + \(\vec{FC}\) equals
	A. zero
	B. 2\(\vec{AB}\)
	C. 4\(\vec{AB}\)
	D. 3\(\vec{AB}\)

Ans: 3\(\vec{AB}\)

Q7.	Which one of the following is the modulus of x\(\hat{i}\) + y\(\hat{j}\) + z\(\hat{k}\)?
	A. \(\sqrt{x^2+y^2+z^2}\)
	B. \(\frac{1}{\sqrt{x^2+y^2+z^2}}\)
	C. x² + y² + z²
	D. none of these

Ans: \(\sqrt{x^2+y^2+z^2}\)

Q8.	If C is the mid point of AB and P is any point outside AB then,
	A. \(\vec{PA}\) + \(\vec{PB}\) = 2\(\vec{PC}\)
	B. \(\vec{PA}\) + \(\vec{PB}\) = \(\vec{PC}\)
	C. \(\vec{PA}\) + \(\vec{PB}\) = 2\(\vec{PC}\) = 0
	D. None of these

Ans: \(\vec{PA}\) + \(\vec{PB}\) = 2\(\vec{PC}\)

Q9.	If \(\vec{OA}\) = 2\(\vec{i}\) – \(\vec{j}\) + \(\vec{k}\), \(\vec{OB}\) = \(\vec{i}\) – 3\(\vec{j}\) – 5\(\vec{k}\) then \|\(\vec{OA}\) × \(\vec{OB}\)\| =
	A. 8\(\vec{i}\) + 11\(\vec{j}\) – 5\(\vec{k}\)
	B. \(\sqrt{210}\)
	C. sin θ
	D. \(\sqrt{40}\)

Ans: \(\sqrt{210}\)

Q10.	If \|a\| = \|b\| = \|\(\vec{a}\) + \(\vec{b}\)\| = 1 then \|\(\vec{a}\) – \(\vec{b}\)\| is equal to
	A. 1
	B. √3
	C. 0
	D. None of these

Ans: √3

Q11.	If \(\vec{a}\) and \(\vec{b}\) are any two vector then (\(\vec{a}\) × \(\vec{b}\))² is equal to
	A. (\(\vec{a}\))²(\(\vec{b}\))² – (\(\vec{a}\).\(\vec{b}\))²
	B. (\(\vec{a}\))² (\(\vec{b}\))² + (\(\vec{a}\).\(\vec{b}\))²
	C. (\(\vec{a}\).\(\vec{b}\))²
	D. (\(\vec{a}\))²(\(\vec{b}\))²

Ans: (\(\vec{a}\))²(\(\vec{b}\))² – (\(\vec{a}\).\(\vec{b}\))²

Q12.	If \(\hat{a}\) and \(\hat{b}\) be two unit vectors and 0 is the angle between them, then \|\(\hat{a}\) – \(\hat{b}\)\| is equal to
	A. sin \(\frac{θ}{2}\)
	B. 2 sin \(\frac{θ}{2}\)
	C. cos \(\frac{θ}{2}\)
	D. 2 cos \(\frac{θ}{2}\)

Ans: 2 sin \(\frac{θ}{2}\)

Q13.	The angle between the vector 2\(\hat{i}\) + 3\(\hat{j}\) + \(\hat{k}\) and 2\(\hat{i}\) – \(\hat{j}\) – \(\hat{k}\) is
	A. \(\frac{π}{2}\)
	B. \(\frac{π}{4}\)
	C. \(\frac{π}{3}\)
	D. 0

Ans: \(\frac{π}{2}\)

Q14.	If \(\vec{a}\) = \(\hat{i}\) – \(\hat{j}\) + \(\hat{k}\), \(\vec{b}\) = \(\hat{i}\) + 2\(\hat{j}\) – \(\hat{k}\), \(\vec{c}\) = 3\(\hat{i}\) – p\(\hat{j}\) – 5\(\hat{k}\) are coplanar then P =
	A. 6
	B. -6
	C. 2
	D. -2

Ans: 6

Q15.	The distance of the point (- 3, 4, 5) from the origin
	A. 50
	B. 5√2
	C. 6
	D. None of these

Ans: 5√2

Q16.	If \(\vec{AB}\) = 2\(\hat{i}\) + \(\hat{j}\) – 3\(\hat{k}\) and the co-ordinates of A are (1, 2, -1) then coordinate of B are
	A. (2, 2, -3)
	B. (3, 2, -4)
	C. (4, 2, -1)
	D. (3, 3, -4)

Ans: (3, 3, -4)

Q17.	If \(\vec{b}\) is a unit vector in xy-plane making an angle of \(\frac{π}{4}\) with x-axis. then \(\vec{b}\) is equal to
	A. \(\hat{i}\) + \(\hat{j}\)
	B. \(\vec{i}\) – \(\vec{j}\)
	C. \(\frac{\vec{i}+\vec{j}}{√2}\)
	D. \(\frac{\vec{i}-\vec{j}}{√2}\)

Ans: \(\frac{\vec{i}+\vec{j}}{√2}\)

Q18.	\(\vec{a}\) = 2\(\hat{i}\) + \(\hat{j}\) – 8\(\hat{k}\) and \(\vec{b}\) = \(\hat{i}\) + 3\(\hat{j}\) – 4\(\hat{k}\) then the magnitude of \(\vec{a}\) + \(\vec{b}\) is equal to
	A. 13
	B. \(\frac{13}{4}\)
	C. \(\frac{3}{13}\)
	D. \(\frac{4}{13}\)

Ans: 13

Q19.	The vector in the direction of the vector \(\hat{i}\) – 2\(\hat{j}\) + 2\(\hat{k}\) that has magnitude 9 is
	A. \(\hat{i}\) – 2\(\hat{j}\) + 2\(\hat{k}\)
	B. \(\frac{\hat{i}-2\hat{j}+2\hat{k}}{3}\)
	C. 3(\(\hat{i}\) – 2\(\hat{j}\) + 2\(\hat{k}\))
	D. 9(\(\hat{i}\) – 2\(\hat{j}\) + 2\(\hat{k}\))

Ans: 3(\(\hat{i}\) – 2\(\hat{j}\) + 2\(\hat{k}\))

Q20.	The position vector of the point which divides the join of points 2\(\vec{a}\) – 3\(\vec{b}\) and \(\vec{a}\) + \(\vec{b}\) in the ratio 3 : 1 is
	A. \(\frac{3\vec{a}-2\vec{b}}{2}\)
	B. \(\frac{7\vec{a}-8\vec{b}}{2}\)
	C. \(\frac{3\vec{a}}{2}\)
	D. \(\frac{5\vec{a}}{4}\)

Ans: \(\frac{5\vec{a}}{4}\)

MCQ Questions for Class 12 Maths

NCERT Solution of Maths Class 12

Class 12 Maths

NCERT SOLUTIONS FOR CLASS 12

MCQ Questions for Class 12 Maths Chapter 10 Vector Algebra with Answers

MCQ Questions for Class 12 Maths Chapter 10 Vector Algebra with Answers Set-B

Vector Algebra Class 12 Maths MCQs Questions with Answers

Class 12 Maths Chapter 10 Quiz

Class 12 Maths Chapter 10 MCQ Online Test

Vector Algebra Class 12 Maths MCQ online test

MCQ Questions for Class 12 Maths

NCERT Solution of Maths Class 12

Class 12 Maths

NCERT Solution of Maths Class 12 Chapter 1

NCERT Solution of Maths Class 12 Chapter 2

NCERT Solution of Maths Class 12 Chapter 3

NCERT Solution of Maths Class 12 Chapter 4

NCERT Solution of Maths Class 12 Chapter 5

NCERT Solution of Maths Class 12 Chapter 6

NCERT Solution of Maths Class 12 Chapter 7

NCERT Solution of Maths Class 12 Chapter 8

NCERT Solution of Maths Class 12 Chapter 9

NCERT Solution of Maths Class 12 Chapter 10

NCERT Solution of Maths Class 12 Chapter 11

NCERT Solution of Maths Class 12 Chapter 12

NCERT Solution of Maths Class 12 Chapter 13

MCQ QUESTIONS WITH ANSWER

NCERT SOLUTIONS FOR CLASS 12

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