Vector in geometry call the directed piece or ordered couple of points of Euclidean space. Ort of a vector is the single vector of rated vector space or a vector, the norm (length) of which is equal to unit.
It is required to you
- Knowledge of geometry.
Instruction
1. For a start it is necessary to calculate vector length. It is known that length (module) of a vector is equal to a root square of the sum of squares of coordinates. Let the vector with coordinates be given: (3, 4). Then its length is equal to |a| = (9 + 16) ^1/2 or |a| =5.
2. To find ORT of a vector of a, it is necessary to divide everyone its which is called an art or a single vector. For a vector and (3, 4) art the vector will be and (3/5, 4/5). The vector of a' will be single for a vector and.
3. For check whether it is correctly found ORT, it is possible to do the following: to find length received Horta if it is equal to unit, everything is found truly if is not present, then in calculations the mistake crept in. Let's check whether it is correctly found ORT of a'. Length of a vector of an' is equal: a' = (9/25 + 16/25) ^1/2 = (25/25) ^1/2 = 1. So, length of a vector of an' is equal to unit, ORT means it is found truly.