# Understanding Vectors and Their Operations

Vectors, unlike scalar quantities, require multiple numbers to describe them, typically using a set of linearly independent basis vectors to define directions within a given dimension (often three in classical physics). Any vector can be expressed as a linear combination of these basis vectors. Operations like scalar multiplication and vector addition involve performing the operations on the individual components of the vectors.

> [This section will cover the visualization of scalar and cross products, alongside an animated comparison between scalar and vector arithmetic within a cloud computing context.](https://viadean.notion.site/Understanding-Vectors-and-Their-Operations-22d1ae7b9a328062929ef7f6d64c1a97?source=copy_link)

### :clapper:Animated result

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Scalar Arithmetic vs Vector Arithmetic
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