﻿ Show that the vector addition follows commutative law. from Physics Motion in A Plane Class 11 Manipur Board

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Show that the vector addition follows commutative law.

Let  be represented by  and  the two adjacent sides of parallelogram OPSQ.

In the figure,  is the diagonal of parallelogram.

Since  is equal and parallel to

∴

Also,  is equal and parallel to

∴

Now applying triangle law of vector addition to  we get

...(1)

Similarly applying triangle law of vector addition to  we get

...(2)

From equation (1) and (2),

Hence the vector addition follows commutative law.

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