The length of the arrow on a scale indicates the size of the vector and the arrow and gives the direction of the vector.
Let us consider an example. Suppose an airplane flies to the east at a speed of 500 km/h. In order to express the speed of this aircraft, we first pointed out the north-south direction on the paper.
Second, we choose a suitable ratio, such as 1.0 centimeters per hour for 100 kilometers, just like when we draw a map. According to this ratio, 500 km / h will be represented by a 5 cm line. Now we draw a line of length 5c parallel to the east and place an arrow at the arrow. This arrow is represented by a velocity vector of 500 km / h to the east. The length of the arrow indicates the size of the given vector on the selected scale, and the arrow at A indicates the direction of the vector. This line is therefore called the representative line vector. The starting point O of the line is the tail and the arrow is at the end of the vector.
In the above example, the speed of the aircraft is represented by the north-south and east directions. However, vectors are usually represented by using any three straight lines that are perpendicular to each other. One of them is named x-axis, but we limit the shell to two lines. These two lines are called reference axes. For example, the grass mover is pulled with a force of 15 N, which is at an angle of 30 to the ground plane. In this example, the x-axis represents the ground plane, and the line drawn at 30 and the x-axis give a representative line of the desired force.
It must be remembered that the representative line represents a given vector and it can start from any point as long as its length and direction are unchanged. Sometimes the vector is represented by two letters written at the two ends of the representative line. In the above example, the force vector F - > can be represented by an arrow, indicating that the direction of the vector is from 0 to A.
Orignal From: Vector representation
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