Saved Bookmarks
| 1. |
What are the different types of vectors? |
|
Answer» SOLUTION :1.EQUAL vectors: Two vectors `vecAandvecB` are said to be equal when they have equal magnitude and same direction and represent the same physical quantity (a) Collinear vectors: Collinear vectors are those which act along the same line. The ANGLE between them can be `0^(@)` or `180^(@)`. (i) Parallel vectors: If two vectors A and B act in the same direction along the same line or on parallel lines, then the angle between them is `0_(0)`.  (ii) Anti-parallel vectors: Two vectors `vecAandvecB` are said to be anti-parallel when they are in opposite directions along the same line or on parallel lines. Then the angle between them is `180^(@)`.  Unit vector: A vector divided by its magnitude is a unit vector. The unit vector for `vecA` is denoted by `hatA`. t has a magnitude equal to unity or one. Since, `hatA=(vecA)/(A)`, we can write `vecA=AhatA` Thus, we can say that the unit vector SPECIFIES only the direction of the vector quantity  3 Orthogonal unit vectors: Let `hati,hatjandhatk` be three unit vectors which specify the directions along positive x-axis, positive y-axis and positive z-axis respectively. These three unit vectors are directed perpendicular to each other, the angle between any two of them is `90^(@).hatihatjandhatk` are examples of orthogonal vectors. Two vectors which are perpendicular to each other are called orthogonal vectors as shown in the figure. 
|
|