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I. Answer the following questions:

1. Which of the following are scalar and which are vector quantities?
Time, weight, speed, acceleration, temperature and power
2. Which of the following quantities are scalars?
Kinetic energy, acceleration due to gravity, velocity, temperature, displacement, gravitational potential, volume
3. Which of the following quantities are vectors?
Intensity of gravitational field, intensity of sound, impulse, potential energy, displacement, length, gravitational mass, weight
4. Time is not a vector quantity. Why?
5. Is pressure a vector?
6. Vectors cannot be added algebraically. Why?
7. Should a quantity having magnitude and direction be necessarily a vector? Exemplify
8. If F and r be the force and displacement vectors, what is represented by
(i) r.F and (ii) r x F ?
9. Is it possible that the resultant of two vectors of equal magnitude has same magnitude as the two vectors have?
10. Can we add two vectors, one representing a force of 10N and the other a force of 50 dyne?
11. Two forces of 10N and 6N act on a body and their directions are unknown. Between which limits does the resultant force lie?
12. Under what conditions, the sum and difference of two vectors will be equal in magnitude?
13. Can A + B = A B?
14. Under what conditions the directions of sum and difference of two vectors will be the same?
15. Can the magnitude of the resultant vector of the two given vectors be less than the magnitude of any of the given vectors?
16. Can the sum of two vectors be a scalar? Can it be a numeric?
17. If A and B are two vectors, can A + B be equal to zero?
18. Can any of the components of a given vector have a greater magnitude than that of the vector itself?
19. Two persons are pulling the ends of a string in such a way that the string is stretched horizontally. When a weight of 10Kg is suspended in the middle of the string, the string does not remain horizontal. Can the persons make it horizontal again by pulling it with greater force?
20. What is the angle between (A + B) and (A X B)?
21. If vectors A and B are added, show that the magnitude of their resultant cannot be greater than (A + B) and smaller than (A B).
22. Five vectors A, B, C, D, and E are represented by the sides of a closed polygon. Making us of the triangle law, prove that their resultant is zero.
23. Show that A. (B + C) = A.B + A.C
24. Two vectors A and B are in the same plane and angle between them is . What is the magnitude and direction of the vector A x B?
25. Prove that A.A = A2 and A x A = 0.

:)  I want to learn vector lesson so plz help me

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