BITSAT Mathematics Vector Algebra MCQs

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 BITSAT Mathematics Vector Algebra 50andBITSAT Mathematics Vector Algebra 51 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 vectorsBITSAT Mathematics Vector Algebra 52

  • a) 15°
  • b) 45°
  • c) 35°
  • d) 60°

Answer: 60°


Question: If BITSAT Mathematics Vector Algebra 53are non-coplanar vectors and λ is a real number, then the vectorsBITSAT Mathematics Vector Algebra 54BITSAT Mathematics Vector Algebra 55are 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 toBITSAT Mathematics Vector Algebra 58 is

  • a)

     BITSAT Mathematics Vector Algebra 57

  • b)

    BITSAT Mathematics Vector Algebra 59

  • c)

    BITSAT Mathematics Vector Algebra 60

  • d)

    BITSAT Mathematics Vector Algebra 61

Answer:

 BITSAT Mathematics Vector Algebra 57

 

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)

    BITSAT Mathematics Vector Algebra 62

  • b)

    BITSAT Mathematics Vector Algebra 63

  • c)

    BITSAT Mathematics Vector Algebra 64

  • d)

    BITSAT Mathematics Vector Algebra 65

Answer:

BITSAT Mathematics Vector Algebra 65

 

Question: If BITSAT Mathematics Vector Algebra 33= 676 and BITSAT Mathematics Vector Algebra 34 then BITSAT Mathematics Vector Algebra 35is 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 BITSAT Mathematics Vector Algebra 36andBITSAT Mathematics Vector Algebra 37?

  • a)

    BITSAT Mathematics Vector Algebra 38

  • b)

    BITSAT Mathematics Vector Algebra 39

  • c)

    BITSAT Mathematics Vector Algebra 40

  • d)

    BITSAT Mathematics Vector Algebra 41

Answer:

BITSAT Mathematics Vector Algebra 38

  

Question: Let BITSAT Mathematics Vector Algebra 1 be non-coplanar unit vectors equally inclined to one another at an acute angle q. Then BITSAT Mathematics Vector Algebra 2in terms of θis equal to

  • a)

    BITSAT Mathematics Vector Algebra 3

  • b)

    BITSAT Mathematics Vector Algebra 4

  • c)

    BITSAT Mathematics Vector Algebra 5

  • d) None of these

Answer:

BITSAT Mathematics Vector Algebra 5

 

Question: The dot product of a vector with the vectors BITSAT Mathematics Vector Algebra 6are 0, 5 and 8 respectively. The vector is

  • a)

    BITSAT Mathematics Vector Algebra 7

  • b)

    BITSAT Mathematics Vector Algebra 8

  • c)

    BITSAT Mathematics Vector Algebra 9

  • d)

    BITSAT Mathematics Vector Algebra 10

Answer:

BITSAT Mathematics Vector Algebra 7

 

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 BITSAT Mathematics Vector Algebra 11 is

  • a)

    BITSAT Mathematics Vector Algebra 12

  • b)

    BITSAT Mathematics Vector Algebra 13

  • c)

    BITSAT Mathematics Vector Algebra 14

  • d)

    BITSAT Mathematics Vector Algebra 15

Answer:

BITSAT Mathematics Vector Algebra 15

 

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 BITSAT Mathematics Vector Algebra 16are three unit vectors such thatBITSAT Mathematics Vector Algebra 17 where BITSAT Mathematics Vector Algebra 18 is null vector, then BITSAT Mathematics Vector Algebra 19 is

  • a) -3
  • b) -2
  • c) 

    BITSAT Mathematics Vector Algebra 20

  • d) 0

Answer:

BITSAT Mathematics Vector Algebra 20

 

Question: If BITSAT Mathematics Vector Algebra 16are three non-coplanar vectors, then the value of BITSAT Mathematics Vector Algebra 21 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 BITSAT Mathematics Vector Algebra 22 is

  • a)

    BITSAT Mathematics Vector Algebra 23

  • b)

    BITSAT Mathematics Vector Algebra 24

  • c)

    BITSAT Mathematics Vector Algebra 25

  • d)

    BITSAT Mathematics Vector Algebra 26

Answer:

BITSAT Mathematics Vector Algebra 25

 

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

  • a) a || (b – c)
  • b)

    BITSAT Mathematics Vector Algebra 27

  • c) a = 0 or b = c
  • d) None of these

Answer: a = 0 or b = c

 

Question: Two vectors BITSAT Mathematics Vector Algebra 31 and BITSAT Mathematics Vector Algebra 32are such that |BITSAT Mathematics Vector Algebra 31BITSAT Mathematics Vector Algebra 32| = |BITSAT Mathematics Vector Algebra 31-BITSAT Mathematics Vector Algebra 32| The angle between the two vectors will be–

  • a) 60°
  • b) 90°
  • c) 180°
  • d) 0°

Answer: 90°


Question: If BITSAT Mathematics Vector Algebra 33= 676 and BITSAT Mathematics Vector Algebra 34 then BITSAT Mathematics Vector Algebra 35is 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 BITSAT Mathematics Vector Algebra 36andBITSAT Mathematics Vector Algebra 37?

  • a)

    BITSAT Mathematics Vector Algebra 38

  • b)

    BITSAT Mathematics Vector Algebra 39

  • c)

    BITSAT Mathematics Vector Algebra 40

  • d)

    BITSAT Mathematics Vector Algebra 41

Answer:

BITSAT Mathematics Vector Algebra 38

 

Question: With respect to a rectangular cartesian coordinate system, three vectors are expressed as :BITSAT Mathematics Vector Algebra 42 andBITSAT Mathematics Vector Algebra 43whereBITSAT Mathematics Vector Algebra 44are unit vectors, along the X, Y and Zaxis respectively. The unit vectorBITSAT Mathematics Vector Algebra 45along the direction of sum of these vector is –

  • a)

    BITSAT Mathematics Vector Algebra 46

  • b)

    BITSAT Mathematics Vector Algebra 47

  • c)

    BITSAT Mathematics Vector Algebra 48

  • d)

    BITSAT Mathematics Vector Algebra 49

Answer:

BITSAT Mathematics Vector Algebra 46

 

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)

Books recommended by teachers