Adding Vectors

vectors' or adding vectors.

In this blog we are going to learn about adding vectors and addition of vectors.

When two or more than two vectors are added, we get a single vector called the resultant vector.

The resultant of two or more than two vectors is a single vector which produces the same effect as the individual vectors together produce.

Three laws have been evolved for the addition of vectors.

They are

1) Triangle law of vectors

2) Parallelogram law of vectors

3) Polygon law of vectors

Triangle law of vectors

If two vectors are represented both in magnitude and direction by the two sides of a triangle taken in the same order, then the resultant is represented completely, both in magnitude and direction, by the third side of the triangle taken in the opposite order.

This law is used for the addition of two vectors.

Parallelogram law of vectors

If two vectors, acting simultaneously at a point, can be represented both in magnitude and direction by the two adjacent sides of a parallelogram drawn from a point, then the resultant is represented completely both in magnitude and direction by the diagonal of the parallelogram passing through that point.”

This statement is known as parallelogram law of vectors.

Polygon law of vectors

If a number of vectors can be represented both in magnitude and direction by the sides of an open convex polygon taken in the same order, then the resultant is represented completely in magnitude and direction by the closing side of the polygon, taken in the opposite order."