BITSAT Mathematics Vector Algebra MCQs with answers available in Pdf for free download. The MCQ Questions for BITSAT Mathematics with answers have been prepared as per the latest BITSAT Mathematics syllabus, books and examination pattern. Multiple Choice Questions form important part of competitive exams and BITSAT exam and if practiced properly can help you to get higher rank. Refer to more topic wise BITSAT Mathematics Questions and also download more latest study material for all subjects and do free BITSAT Mathematics Mock Test

## MCQ for BITSAT Mathematics Vector Algebra

BITSAT Mathematics students should refer to the following multiple-choice questions with answers for Vector Algebra in BITSAT. These MCQ questions with answers for BITSAT Mathematics will come in exams and help you to score good marks

### Vector Algebra MCQ Questions with Answers

#### Question: If the position vectors of the vertices A, B, C of a triangle ABC are and respectively, the triangle is

- a) Equilateral
- b) Isosceles
- c) Scalene
- d) Right angled and isosceles also

**Answer: Right angled and isosceles also**

#### Question: For unit vectors b and c and any non-zero vector a, the value of {(a + b) × (a + c)} × (b + c)}. (b + c) is

- a) | a |
^{2} - b) 2 | a |
^{2} - c) 3 | a |
^{2} - d) None of these

**Answer: ****None of these**

#### Question: If θ be the angle between vectors a = i + 2j + 3k and b = 3i + 2j + k, then cos θ equals

- a) 5/7
- b) 6/7
- c) 4/7
- d) 1/2

**Answer: 5/7**

#### Question: Find the angle between the vectors

- a) 15°
- b) 45°
- c) 35°
- d) 60°

**Answer: 60°**

#### Question: If are non-coplanar vectors and λ is a real number, then the vectorsare non coplanar for

- a) No value of λ
- b) All except one value of λ
- c) All except two values of λ
- d) All values of λ

**Answer: ****All except two values of λ**

#### Question: A vector of magnitude 5 and perpendicular to is

- a)
- b)
- c)
- d)

**Answer:**

** **

#### Question: i × ( j × k ) + j × ( k × i ) + k ( i × j ) equals

- a) i
- b) j
- c) k
- d) 0

**Answer: 0**

#### Question: What is the vector joining the points (3, 1, 14) and (–2, –1, –6) ?

- a)
- b)
- c)
- d)

**Answer:**

#### Question: If = 676 and then is equal to

- a) 13
- b) 26
- c) 39
- d) None of these

**Answer: 13**

** **

#### Question: Which one of the following is the unit vector perpendicular to both and?

- a)
- b)
- c)
- d)

**Answer:**

#### Question: Let be non-coplanar unit vectors equally inclined to one another at an acute angle q. Then in terms of θis equal to

- a)
- b)
- c)
- d) None of these

**Answer:**

#### Question: The dot product of a vector with the vectors are 0, 5 and 8 respectively. The vector is

- a)
- b)
- c)
- d)

**Answer:**

#### Question: Let a, b and c be three vectors satisfying a × b = (a ×c), |a| = |c| = 1, |b| = 4 and |b × c| = √15 . If b – 2c = λa, then λ equals

- a) 1
- b) -1
- c) 2
- d) -4

**Answer: -4**

#### Question: If the middle points of sides BC, CA & AB of triangle ABC are respectively D, E, F then position vector of centre of triangle DEF, when position vector of A, B, C are respectively is

- a)
- b)
- c)
- d)

**Answer:**

#### Question: The angle between any two diagonal of a cube is

- a) 45°
- b) 60°
- c) 30°
- d) tan
^{-1}(2 √2)

**Answer: ****tan ^{-1}(2 √2)**

#### Question: If are three unit vectors such that where is null vector, then is

- a) -3
- b) -2
- c)
- d) 0

**Answer:**

#### Question: If are three non-coplanar vectors, then the value of is

- a) 0
- b) 2
- c) 1
- d) None of these

**Answer: 0**

#### Question: If vectors 2i – j + k, i + 2j – 3k and 3i + aj + 5k are coplanar, then the value of a is

- a) 2
- b) -2
- c) -1
- d) -4

**Answer: -4**

#### Question: The unit vector perpendicular to the vectors is

- a)
- b)
- c)
- d)

**Answer:**

#### Question: If a.b = a.c and a × b = a × c, then correct statement is

- a) a || (b – c)
- b)
- c) a = 0 or b = c
- d) None of these

**Answer: ****a = 0 or b = c**

#### Question: Two vectors and are such that |+ | = |-| The angle between the two vectors will be–

- a) 60°
- b) 90°
- c) 180°
- d) 0°

**Answer: 90°**

#### Question: If = 676 and then is equal to

- a) 13
- b) 26
- c) 39
- d) None of these

**Answer: 13**

#### Question: Which one of the following is the unit vector perpendicular to both and?

- a)
- b)
- c)
- d)

**Answer:**

#### Question: With respect to a rectangular cartesian coordinate system, three vectors are expressed as : andwhereare unit vectors, along the X, Y and Zaxis respectively. The unit vectoralong the direction of sum of these vector is –

- a)
- b)
- c)
- d)

**Answer:**

#### Question: If the middle points of sides BC, CA & AB of triangle ABC are respectively D, E, F then position vector of centre of triangle DEF, when position vector of A, B, C are respectively i + j, j + k, k + i is –

- a) (1/3) (i + j + k)
- b) (i + j + k)
- c) 2 (i + j + k)
- d) (2/3) (i + j + k)

**Answer: (2/3) (i + j + k)**