maths > vector-algebra

Triangular Law

what you'll learn...

Overview

»  sequential addition of $\stackrel{\to }{p}$$\vec{p}$ and $\stackrel{\to }{q}$$\vec{q}$
→  the third side of the triangle formed by $\stackrel{\to }{p}$$\vec{p}$ and $\stackrel{\to }{q}$$\vec{q}$

sequential

In a bucket there is $20$$20$ liter water and another $10$$10$ liter water is poured in. The bucket has $20+10=30$$20 + 10 = 30$ liter of water.

With $20$$20$ liter, another $10$$10$ liter is added. Scalar quantities can be added sequentially.

Two taps simultaneously fill a bucket. One fills at $20$$20$ liter per hour and another fills at $10$$10$ liter per hour. At the end of an hour, the bucket has $20+10=30$$20 + 10 = 30$ liter of water.

Two streams of water are added into the bucket. Scalar quantities can be added continuously.

We have seen that two ways scalar quantities can be added - Sequentially and Continuously.

A person walks for $1$$1$ units at ${24}^{\circ }$${24}^{\circ}$ , then from that point, walks for $2.3$$2.3$ units at ${43}^{\circ }$${43}^{\circ}$ angle. Addition of these two vectors is an example of Sequential addition of vectors. At the end of the first vector, the second vector starts and added.