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Vector Algebra

JEE Mathematics • 10 questions • Free on ExamBattle

Practice Questions

1. Q1

   The dot product of perpendicular vectors is:

   • A. 1
   • B. 0
   • C. -1
   • D. Undefined

2. Q2

   The magnitude of vector (3, 4) is:

   • A. 5
   • B. 7
   • C. 1
   • D. 12

3. Q3

   If a × b = 0, then vectors a and b are:

   • A. Perpendicular
   • B. Parallel
   • C. Skew
   • D. Unit vectors

4. Q4

   The dot product a·b = |a||b|cos(θ). If |a| = 2, |b| = 3, θ = 60°, then a·b = ?

   • A. 6
   • B. 3
   • C. √3
   • D. 2√3

5. Q5

   The scalar triple product [a b c] = a·(b × c). If coplanar, then:

   • A. [a b c] = 1
   • B. [a b c] = 0
   • C. [a b c] = -1
   • D. [a b c] > 0

6. Q6

   For unit vectors i, j, k: i·j equals:

   • A. 1
   • B. 0
   • C. -1
   • D. i × j

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