Chapter 2 - Scalars and Vectors
1. A physical quantity, which can be completely described by its magnitude only, is called scalar quantity.
2. A physical quantity, which can be completely specified by its magnitude as well as direction, is called vector quantity.
3. Displacement of a body is a scalar quantity.
4. Power is a vector quantity.
5. Vectors can be represented by capital letters like .
6. Magnitude of vectors can be represented as or A, B, C.
7. Two vectors are equal when they have same magnitude and same direction.
8. The tail of a vector is also called the terminal point.
9. The magnitude of a vector will always be negative.
10. In parallelogram law of vector addition the resultant of the two vectors is represented by any adjacent side of the parallelogram.
11. Normally law of cosine is used to determine the magnitude of the resultant vector.
12. Law of sine is used normally for the direction of a resultant vector.
13. The division of vectorby negative number n is given by where m = 1/n then the direction ofis same as .
14. The magnitude of unit vector will always equal to unity.
15. The rectangular unit vectors are mutually perpendicular to each other.
16. The product of two vectors will always be a vector.
17. The dot product of two vectors is a scalar.
18. The cross product of two vectors is a vector.
19. The scalar product can be defined as that it is the product of magnitude of two vectors and sine of the angle between them.
20. The vector product can be defined as that it is the product of magnitude of two vectors and cosine of the angle between them.
21. The dot product obeys the commutative law for vector multiplication.
22. The vector product will not obey the commutative law for vector multiplication.
23. A vector, which can be displaced parallel to itself and applied at any point, is called position vector.
24. Null vector can be obtained by adding a vector with its negative vector.
25. Zero vector has a particular direction.
26. If two vectors are perpendicular to each other then their dot product is zero.
27. If two vectors are parallel to each other then their cross product is zero.
28. If then the two vectors are perpendicular to each other.
29. The direction of resultant vector in vector product can be determined by right hand rule.
30. The magnitude of the resultant of two vectors can be greater than the sum of the magnitudes of individual vector.
31. The magnitude of null vector will always be zero.
32. Torque is the cross product of force and force arm.
33. Power is the dot product of force and velocity.
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