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# VectorArithmetic

A type that can serve as the animatable data of an animatable type.

```
protocol VectorArithmetic : AdditiveArithmetic
```

## Overview

`VectorArithmetic` extends the `AdditiveArithmetic` protocol with scalar
multiplication and a way to query the vector magnitude of the value. Use
this type as the `animatableData` associated type of a type that conforms to
the [`Animatable`](/documentation/SwiftUI/Animatable) protocol.

## Topics

### Manipulating values

[`magnitudeSquared`](/documentation/SwiftUI/VectorArithmetic/magnitudeSquared)

Returns the dot-product of this vector arithmetic instance with itself.

[`scale(by:)`](/documentation/SwiftUI/VectorArithmetic/scale(by:))

Multiplies each component of this value by the given value.

[`scaled(by:)`](/documentation/SwiftUI/VectorArithmetic/scaled(by:))

Returns a value with each component of this value multiplied by the
given value.

[`interpolate(towards:amount:)`](/documentation/SwiftUI/VectorArithmetic/interpolate(towards:amount:))

Interpolates this value with `other` by the specified `amount`.

[`interpolated(towards:amount:)`](/documentation/SwiftUI/VectorArithmetic/interpolated(towards:amount:))

Returns this value interpolated with `other` by the specified `amount`.


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