Refer to BITSAT Mathematics Vector Algebra MCQs provided below. BITSAT Full Syllabus Mathematics MCQs with answers available in Pdf for free download. The MCQ Questions for Full Syllabus Mathematics with answers have been prepared as per the latest syllabus, BITSAT books and examination pattern suggested in Full Syllabus by BITSAT, NCERT and KVS. Multiple Choice Questions for Vector Algebra are an important part of exams for Full Syllabus Mathematics and if practiced properly can help you to get higher marks. Refer to more Chapter-wise MCQs for BITSAT Full Syllabus Mathematics and also download more latest study material for all subjects
MCQ for Full Syllabus Mathematics Vector Algebra
Full Syllabus Mathematics students should refer to the following multiple-choice questions with answers for Vector Algebra in Full Syllabus. These MCQ questions with answers for Full Syllabus Mathematics will come in exams and help you to score good marks
Vector Algebra MCQ Questions Full Syllabus Mathematics 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 vectors
are 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 :
and
where
are unit vectors, along the X, Y and Zaxis respectively. The unit vector
along 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)
More Study Material
BITSAT Full Syllabus Mathematics Vector Algebra MCQs
We hope students liked the above MCQs for Vector Algebra designed as per the latest syllabus for Full Syllabus Mathematics released by BITSAT. Students of Full Syllabus should download the Multiple Choice Questions and Answers in Pdf format and practice the questions and solutions given in above Full Syllabus Mathematics MCQs Questions on daily basis. All latest MCQs with answers have been developed for Mathematics by referring to the most important and regularly asked topics which the students should learn and practice to get better score in school tests and examinations. Studiestoday is the best portal for Full Syllabus students to get all latest study material free of cost.
MCQs for Mathematics BITSAT Full Syllabus Vector Algebra
Expert teachers of studiestoday have referred to NCERT book for Full Syllabus Mathematics to develop the Mathematics Full Syllabus MCQs. If you download MCQs with answers for the above chapter daily, you will get higher and better marks in Full Syllabus test and exams in the current year as you will be able to have stronger understanding of all concepts. Daily Multiple Choice Questions practice of Mathematics and its study material will help students to have stronger understanding of all concepts and also make them expert on all critical topics. You can easily download and save all MCQs for Full Syllabus Mathematics also from www.studiestoday.com without paying anything in Pdf format. After solving the questions given in the MCQs which have been developed as per latest course books also refer to the NCERT solutions for Full Syllabus Mathematics designed by our teachers
Vector Algebra MCQs Mathematics BITSAT Full Syllabus
All MCQs given above for Full Syllabus Mathematics have been made as per the latest syllabus and books issued for the current academic year. The students of Full Syllabus can refer to the answers which have been also provided by our teachers for all MCQs of Mathematics so that you are able to solve the questions and then compare your answers with the solutions provided by us. We have also provided lot of MCQ questions for Full Syllabus Mathematics so that you can solve questions relating to all topics given in each chapter. All study material for Full Syllabus Mathematics students have been given on studiestoday.
Vector Algebra BITSAT Full Syllabus MCQs Mathematics
Regular MCQs practice helps to gain more practice in solving questions to obtain a more comprehensive understanding of Vector Algebra concepts. MCQs play an important role in developing understanding of Vector Algebra in BITSAT Full Syllabus. Students can download and save or print all the MCQs, printable assignments, practice sheets of the above chapter in Full Syllabus Mathematics in Pdf format from studiestoday. You can print or read them online on your computer or mobile or any other device. After solving these you should also refer to Full Syllabus Mathematics MCQ Test for the same chapter
BITSAT MCQs Mathematics Full Syllabus Vector Algebra
BITSAT Full Syllabus Mathematics best textbooks have been used for writing the problems given in the above MCQs. If you have tests coming up then you should revise all concepts relating to Vector Algebra and then take out print of the above MCQs and attempt all problems. We have also provided a lot of other MCQs for Full Syllabus Mathematics which you can use to further make yourself better in Mathematics
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Multiple Choice Questions (MCQs) for Vector Algebra Full Syllabus Mathematics are objective-based questions which provide multiple answer options, and students are required to choose the correct answer from the given choices.