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Mathematics - Vector Algebra

Practise 9 KVPY previous year questions on Vector Algebra, compiled from papers spanning 2010 to 2019. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty KVPY tests.

  1. 1Let a = i ^ + j ^ + k ^ , b = 2 i ^ + 2 j ^ + k ^ and c = 5 i ^ + j ^ - k ^ be three vectors. The area of the region formed by the set of po2019 (SB/SX)
  2. 2Let be a vector in the plane such that Then lies in the interval -2016 (SB/SX)
  3. 3In a triangle , points and are on and , respectively, such that is parallel to BC, Which of the two following always hold? (Here [PQR] denot2015 (SA)
  4. 4Let and . Suppose that where is parallel to and is perpendicular to . Then is2015 (SB/SX)
  5. 5What is the angle subtended by an edge of a regular tetrahedron at its center?2014 (SB/SX)
  6. 6Let be unit vectors in the -plane, one each in the interior of the four quadrants. Which of the following statements is necessarily true?2013 (SB/SX)
  7. 7In a triangle , let denote its centroid and let be points in the interiors of the segments , respectively, such that are collinear. If denot2013 (SB/SX)
  8. 8Let be three vectors in the xyz space such that If are points with position vectors respectively, then the number of possible positions of t2011 (SB/SX)
  9. 9Let be vectors in and be a unit vector in the -plane. Then the maximum possible value of is-2010 (SB/SX)

Frequently Asked Questions

1.How many questions are available for Vector Algebra?

This chapter includes 9 questions compiled from KVPY papers spanning 2010 to 2019.

2.Are these questions only from KVPY, or from other exams too?

These are KVPY questions specifically for the Vector Algebra chapter. Questions from other exams like JEE Main or NTA Abhyas (JEE Main) are organised separately under their respective exam sections.

3.Is Vector Algebra an important chapter for KVPY Mathematics?

Vector Algebra has appeared in 7 of the 11 years of KVPY papers covered here, with 9 questions across 8 papers - about one per paper it appears in.