Question

Construct vector diagrams?

Answer 1

Hint: Vector diagrams must always have accurate magnitude and direction of vector as they are drawn to scale. We can measure the magnitude with the help of a ruler and the angle of direction by using a protractor. Thus, we shall learn to draw the vector diagrams with great precision.

Complete step by step answer:
If a vector starts at point $\left( {{x}_{1}},{{y}_{1}} \right)$ and if it terminates at $\left( {{x}_{2}},{{y}_{2}} \right)$ , then to get its components we just simply subtract the $x$ coordinates and the $y$ coordinates. The order while subtraction is very important. We have to take the finishing point minus the starting point for both the $x$ and $y$ coordinates.

When we have to join vectors pointing in the same direction (let that be the same straight-line or some clockwise or anti-clockwise rotation), we connect the tail of one vector to the head of the other vector. Further, if there are more than two vectors then we shall be joining the vectors from head to tail. However, when we have to join vectors in opposite directions, we join the head of one vector to the head of the other or we join the tail of one vector to the tail of the other.

Note: We represent all vectors with little arrows and they represent quantities that have both a magnitude and a direction associated with them. To indicate a vector quantity, a small arrow is put at the head of the symbol or character representing that vector quantity or we can also put the symbol or character in double bars.