Class 12 Maths MCQ Questions of Vector Algebra with Answers are offered here to assist the students with their CBSE board exam preparation. Every one of the parts of Class 12 has different weightage for the CBSE exams alongside varying levels of trouble concerning the questions of NCERT reading material just as concepts. Students can refer to the MCQ Questions for Class 12 according to the new exam pattern.

These MCQ Questions will provide you with an unmistakable thought of what types of questions will be asked from the syllabus in the examination. Every one of the connected concepts of Vectors is furnished with suitable examples at Sarthaks eConnect.

Students can get to the Vector Algebra Class 12 MCQ Questions with Answers from here and test their problem thinking abilities. Use MCQ Questions for Class 12 Maths with Answers during preparation for exams and score the greatest marks in the exams.

Practice MCQ Question for Class 12 Maths chapter-wise

**1. The position vector of a point R which divides the line joining P(6,3,−2) and Q(3,1,−4) Q(3,1, - 4) in the ratio 2:1 externally is**

(a) \(\hat i+3\hat j-2\hat k\)

(b) \(3\hat i-\hat k\)

(c) \(-\hat j-6\hat k\)

(d) \(2\hat i-\hat j\)

**2. The modulus of the complex quantity (2−3i) (−1+7i).**

(a) \(5\sqrt{13}\)

(b) \(5\sqrt{26}\)

(c) \(13\sqrt{5}\)

(d) \(26\sqrt{5}\)

**3. The scalar product of 5i + j - 3k and 3i - 4j + 7k is**

(a) 10

(b) -10

(c) 15

(d) -15

**4. If **\((\vec a\times\vec b)^2+(\vec a.\vec b)^2=144\)** and **\(|\vec a| \)** then **\(|\vec b|\)**=**

(a) 3

(b) -1

(c) 15

(d) -10

**5. Three vectors satisfy the relation A.B =0 and A.C=0 then A is parallel to**

(a) C

(b) B

(c) B x C

(d) B.C

**6. The system of vectors i,j,k is**

(a) Orthogonal

(b) Collinear

(c) Coplanar

(d) None of these

**7. Find the projection (vector) of (2i - j + k) on (i - 2 j + k).**

(a) \(\frac{5}{6}(\hat i-2\hat j+\hat k)\)

(b) \(\frac{6}{5}(\hat i-2\hat j+\hat k)\)

(c) \(\frac{3}{4}(\hat j-\hat k)\)

(d) None of these

8.The projection of the line joining the points (3,4,5) and (4,6,3) on the line joining the points (−1,2,4) and (1,0,5) is

(a) \(\frac{5}{6}\)

(b) \(\frac{4}{3}\)

(c) \(\frac{3}{4}\)

(d) None of these

**9. If A.B=A×B, then angle between A and B is**

(a) 45°

(b) 30°

(c) 60°

(d) 90°

**10. If a = 2i + 5j +k and b = 4i +mj+nk are collinear vectors, then find m+ n.**

(a) 12

(b) 15

(c) 20

(d) 60

**11. Associate law of vector addition is **

(a) The sum of vectors remains same irrespective of their order or grouping in which they are arranged

(b) The sum of vectors is different irrespective of their order or grouping in which they are arranged.

(c) The sum of vectors changes with the change of their order or grouping in which they are arranged

(d) 8

**12. The point with position vectors (2,6),(1,2) and (p,10) are collinear if the value of p is**

(a) 3

(b) -3

(c) 12

(d) 6

**13. If C is the mid-point of AB and P is any point outside AB, then **

(a) PA+ PB+ PC=0

(b) PA+PB+2PC=0

(c) PA+PB=PC

(d) PA + PB = 2PC

**14. The distance of the point (- 3, 4, 5) from the origin**

(a) 60

(b) \(5\sqrt2\)

(c) 6

(d) None of these

**15. The vector having initial and terminal points as (2,5,0) and (−3,7,4), respectively is **

(a) \(-\hat i+12\hat j+4\hat k\)

(b) \(5\hat i+2\hat j-4\hat k\)

(c) \(-5\hat i+2\hat j+4\hat k\)

(d) None of these

**16. The vector having initial and terminal points as (2,5,0) and (−3,7,4), respectively is **

(a) [0,8]

(b) [-12,8]

(c) [0,12]

(d) [8,12]

**17. The magnitude of the vector 6i + 2j + 3k is equal to:**

(a) 5

(b) 1

(c) 7

(d) 12

**18. The magnitude of the vector 4i + 3j + 5k is equal to:**

(a) \(\sqrt{50}\)

(b) 50

(c) 7

(d) 12

**19. 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

**20. Can two different vectors have the same magnitude?**

(a) Yes

(b) No

(c) Cannot be determined

(d) None of the above