We already learnt about the vectors and their notations in the previous physics article. Now we will learn about their addition and subtraction.

### Vector Addition:

The addition is done based on Triangle Rule. Let us see what triangle rule is:

Suppose there are two vectors: \(\overrightarrow{a}\)

Now, draw a line \(AB\)

The line AC represents \(\overrightarrow{a}\)

The magnitude of \(\overrightarrow{a}\)

\(\sqrt{a^2~+~b^2~+~2ab~cos~\theta}\)

Where,

\(a\)

\(b\)

\(\theta\)

Let the resultant make an angle of \(\phi\)

\(tan\phi\)

Let us understand this by the means of an example. Suppose there are two having equal magnitude \(A\)

Let the magnitude of the resultant vector be \(B\)

\(B\)

Let’s say that the resultant vector makes an angle \(Ɵ\)

\(tan~\phi\)

Or,

\(Ɵ\)

### Vector Subtraction:

Subtraction of two vectors is similar to addition. Suppose \(\overrightarrow{a}\)

\(\overrightarrow{a}\)

\(\overrightarrow{a}\)

(-\(\overrightarrow{b}\)

Stay tuned with Byju’s to learn more about vectors, vector notation and much more.

**Practise This Question**

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