Proven Tips to Excel in JEE Main Vector Algebra Mock Tests

Vector Algebra is a high-scoring chapter in JEE Mathematics, essential for mastering 3D geometry, physics calculations, and advanced problem solving. This mock test covers vector addition, scalar and vector products, and applications in geometry—building your foundation for JEE Main’s toughest questions. Attempt the test now to reinforce your concepts and boost your confidence!

Mock Test Instructions for the Vector Algebra Mock Test 1-2:

20 questions from Vector Algebra Mock Test 1-2
Time limit: 20 minutes
Single correct answer per question
Correct answers appear in bold green after submission

Time Left: 20:00

Q1. If a = 2i + 3j – k and b = i – 4j + 2k, find the dot product a · b.

-7

-2

Q2. The magnitude of the vector 3i – 4j + k is:

5.92

√26

Q3. If two vectors are perpendicular, their dot product is:

-1

Cannot be determined

Q4. If a = i + 2j + 2k and b = 2i – j + k, find |a × b|

Q5. If a = i + j and b = i – j, what is the angle between a and b?

90°

45°

60°

0°

Q6. The unit vector in the direction of the vector 6i – 3j + 2k is:

(6i – 3j + 2k)/7

(6i – 3j + 2k)/11

(6i – 3j + 2k)/6

(6i – 3j + 2k)/5

Q7. If a · b = 0, then a and b are:

Collinear

Parallel

Perpendicular

Equal

Q8. The value of (i + j + k) · (i – j + k) is:

Q9. The cross product of two parallel vectors is:

Maximum

Minimum

Zero

Cannot be found

Q10. If a = 2i + j and b = –i + 2j, then a · b = ?

Q11. The projection of vector a on b is given by:

a · b / |b|

a · b / |a|

a × b / |b|

|a||b|

Q12. The vector 5i + 0j –12k has a magnitude equal to:

Q13. The value of i × j × k is:

Q14. Two non-zero vectors are collinear if:

a × b = 0

a · b = 0

a = b

None of these

Q15. The scalar triple product of a, b, c is:

a · (b × c)

a × (b · c)

(a × b) · c

None of these

Q16. If |a| = 2, |b| = 3, and angle between is 60°, |a × b| = ?

4.5

Q17. The vector perpendicular to both i + 2j + 3k and 2i + 3j + 4k is:

i – 2j + k

-1i + 2j - 1k

–1i + 2j – 1k

2i + 2j + 2k

Q18. If a vector has components 3 along x-axis, 4 along y-axis, its magnitude is:

Q19. (i + j) × (i – j) equals:

-2k

Q20. If two vectors are equal, then their corresponding components are: