JEE MATHS UNIT 12
QUIZ NO 3
TOTAL QUESTIONS = 20


1. The dot product of vectors a = 2i + 3j and b = 4i + 5j is


2. The cross product of vectors a = i + j and b = i - j is


3. The magnitude of the vector 6i - 8j is


4. If a = 3i + 4j and b = 5i + 12j, then a and b are


5. The scalar triple product of vectors a, b, and c is


6. The projection of vector a = 3i + 4j on vector b = 5i + 12j is


7. If a = 2i - 3j and b = i + j, then a × b is


8. The area of a parallelogram formed by vectors a = 3i + 2j and b = 4i + 5j is


9. The direction cosines of a vector 3i + 4j are


10. The dot product of two vectors is zero if the vectors are


11. The magnitude of the cross product of vectors a = i + j and b = i - j is


12. If a = i - j and b = i + j, then the angle between a and b is


13. The cross product of two vectors is


14. The volume of a parallelepiped formed by vectors a, b, and c is given by


15. If a = i + j and b = i - j, then a × b is


16. The vector projection of a on b is given by


17. The scalar triple product of vectors a = 2i + j, b = i + k, and c = 3i + 2j + k is


18. The magnitude of a unit vector is always


19. If a = 2i + 3j + k and b = i - j + 4k, then the cross product a × b is


20. If the vectors a = 3i + j - 4k and b = i - 3j + 2k are parallel, then the ratio of their magnitudes is



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