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BITSAT Vector Algebra PYQs with Solutions

25 previous year questions from Vector Algebra (BITSAT Mathematics) with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

25 questionsMathematics2010–2024Answers + solutions

About Vector Algebra PYQs

Vector Algebra has 25 previous year questions in the Quantrex Academy BITSAT Mathematics bank. The 25 questions in this list come from BITSAT (25), spanning 2010 to 2024. Each question opens on its own page with the options, the correct answer and the worked solution where available.

BITSAT Vector Algebra PYQs with Solutions

About Vector Algebra PYQs

Questions by year (this list)

Vector Algebra questions with solutions

Let a= i - k , b=x i + j +(1-x) k and c=y i +x j +(1+x-y) k . Then, [a b c] depends on

Let ABC be a triangle and be a , b , c the position vectors of A, B, C respectively. Let D divide B C in the ratio 3: 1 internally and E divide AD in the ratio 4: 1 internally.

If a =2 i + j +2 k , then the value of | i ×( a × i )|^2+| j ×( a × j )|^2+| k ×( a × k )|^2 is equal to

A vector perpendicular to the plane containing the vectors i -2 j - k and 3 i -2 j - k is inclined to the vector i + j + k at an angle

If a = i + j + k , a · b =1 and a × b = j - k , then b is

107. u and v are two non-collinear unit vectors such that | u + v 2 + u × v |=1 . Then the value of | u × v | is equal to

If a is a vector of magnitude 50 , collinear with the vector b =6 i -8 j -(15)/(2) k and makes an acute angle with the positive direction of Z - axis, then a is equal to

If r and s arenon-zero constant vectors and the scalar b is chosen such that | r +b s | is minimum, then the value of |b s |^ 2 +| r +b s |^ 2 is equal to

If &#8594; a , &#8594; b , &#8594; c are non-coplaner vectors such that &#8594; b × &#8594; c = &#8594; a ; &#8594; c × &#8594; a = &#8594; b ; &#8594; a × &#8594; b = &#8594; c

If &#8594; a = ^ i + 2 ^ j + 3 ^ k , &#8594; b = - ^ i + 2 ^ j + ^ k , &#8594; c = 3 ^ i + ^ j and &#8594; a + p &#8594; b is normal to &#8594; c , then p is equal to

In a ∆ ABC, D, E, F are the mid-points of the sides BC , CA and AB respectively, the vector &#8594; AD is equal to

If h is the altitude of a parallelopiped determined by the vectors ^ a , ^ b , ^ c and the base is taken to be the parallelogram determined by ^ a and ^ b where ^ a = ^ i + ^ j +

Let ^ a and ^ b are& two non-collinear unit vectors. If &#8594; u = ^ a - ( ^ a · ^ b ) ^ b and &#8594; v = ^ a × ^ b , then | &#8594; v | is equal to

Let a, b and c be three vectors satisfying a × b=(a × c),|a|=|c|=1,|b|=4 and |b × c|= 15 . If b-2 c=λ a, then λ equals

If the middle points of sides BC, CA \ and 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

The angle between any two diagonal of a cube is

If a , b , c are three unit vectors such that a + b + c = 0 , where 0 is null vector, then a · b + b · c + c · a is :

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

The unit vector perpendicular to the vectors 6 i +2 j +3 k and 3 i -6 j -2 k is -

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

Two vectors \( A \) and \( B \) are such that \(| A + B |=| A - B | \). The angle between the two vectors will be-

The solution of differential equation \(2 x (d y)/(d x)- y=3\) represents a family of

If \(( a × b )^2+( a · b )^2=676\) and \(| b |=2\) then \(| a |\) is equal to

Which one of the following is the unit vector perpendicular to both \( a =- i + j + k \) and \( b = i - j + k \) ?

With respect to a rectangular cartesian coordinate system, three vectors are expressed as : \( a =4 i - j , b =-3 i +2 j \) and \( c =- k \) where \( i , j , k \) are unit

Related BITSAT Mathematics chapters

Vector Algebra in other exams

If → a , → b , → c are non-coplaner vectors such that → b × → c = → a ; → c × → a = → b ; → a × → b = → c

If → a = ^ i + 2 ^ j + 3 ^ k , → b = - ^ i + 2 ^ j + ^ k , → c = 3 ^ i + ^ j and → a + p → b is normal to → c , then p is equal to

In a ∆ ABC, D, E, F are the mid-points of the sides BC , CA and AB respectively, the vector → AD is equal to

Let ^ a and ^ b are& two non-collinear unit vectors. If → u = ^ a - ( ^ a · ^ b ) ^ b and → v = ^ a × ^ b , then | → v | is equal to