JEE-ADVANCED SERIES Mathematics
Vector Algebra
18 previous year questions.
Volume: 18 Ques
Yield: Medium
High-Yield Trend
2
2024 1
2019 1
2017 1
2015 1
2012 2
2011 2
2007 1
2006 1
2005 1
2004 1
2001 1
2000 1
1995 1
1983 1
1982 Chapter Questions 18 MCQs
01
PYQ 1982
medium
mathematics ID: jee-adva
The scalar eqy=ual
1
0
2
3
4
None of these
02
PYQ 1983
medium
mathematics ID: jee-adva
The volume of the parallelopiped whose sides are given by is
1
2
4
3
4
None of these
03
PYQ 1995
medium
mathematics ID: jee-adva
If are non-coplanar unit vectors such that then the angle between and is
1
2
3
4
04
PYQ 2000
medium
mathematics ID: jee-adva
If and are unit coplanar vectors, then the scalar triple product is
1
0
2
1
3
4
05
PYQ 2001
easy
mathematics ID: jee-adva
If and are unit vectors, then does not exceed
1
4
2
9
3
8
4
6
06
PYQ 2004
medium
mathematics ID: jee-adva
The unit vector which is orthogonal to the vector and is coplanar with the vectors and is
1
2
3
4
07
PYQ 2005
medium
mathematics ID: jee-adva
If and are two unit vectors such that and b, are perpendicular to each other, then the angle between is
1
2
3
4
08
PYQ 2006
medium
mathematics ID: jee-adva
Let, A vector coplanar to and of magnitude then the vector is
1
2
3
4
None of these
09
PYQ 2007
medium
mathematics ID: jee-adva
The number of distinct real values of , for which the vectors and are coplanar, is
1
0
2
1
3
2
4
3
10
PYQ 2007
medium
mathematics ID: jee-adva
Let be unit vectors such that Which one of the following is correct?
1
2
3
4
are mutually perpendicular
11
PYQ 2011
medium
mathematics ID: jee-adva
The vector(s) which is/are coplanar with vectors and are perpendicular to the vector is / are
1
2
3
4
12
PYQ 2011
medium
mathematics ID: jee-adva
Let and be three vectors. A vector in the plane of and whose projection on is is given by
1
2
3
4
13
PYQ 2012
medium
mathematics ID: jee-adva
If and are vectors such that and then a possible value of
1
0
2
3
3
4
4
8
14
PYQ 2015
medium
mathematics ID: jee-adva
Let be a triangle Let . If and , then which of the following is (are) true ?
1
2
3
4
15
PYQ 2017
medium
mathematics ID: jee-adva
Let be the origin and let be an arbitrary triangle. The point is such that Then the triangle has as its
1
centroid
2
circumcentre
3
incentre
4
orthocenter
16
PYQ 2019
easy
mathematics ID: jee-adva
Three lines and are given. For which point(s) on can we find a point P on and a point R on so that P, Q and R are collinear?
1
2
3
4
17
PYQ 2024
hard
mathematics ID: jee-adva
Let and . If for some real numbers α, β and γ we have
,
then the value of γ is ________.
,
then the value of γ is ________.
18
PYQ 2024
hard
mathematics ID: jee-adva
Let and be three vector where α, β ∈ R - {0} and 0 denotes the origin. If and the point (α, β, 2) lies on the plane 3x + 3y - z + l = 0, then the value of l is _______.
About Vector Algebra - JEE-ADVANCED
Vector Algebra is a vital chapter for JEE-ADVANCED aspirants. Mastering the concepts covered in this chapter is essential for securing a top rank.
By rigorously practicing the previous year questions associated with this chapter, you can identify high-yield topics, understand the examiner's perspective, and boost your confidence during the actual exam.
Frequently Asked Questions
Why focus on Vector Algebra PYQs?
Analyzing PYQs for this specific chapter reveals the most frequently tested concepts and the typical complexity of questions, allowing you to tailor your study plan efficiently.
How to best use this analysis?
Review the topic breakdown to see which sub-topics within Vector Algebra carry the most weight. Then, tackle the questions iteratively to solidify your understanding.