Direction Cosines from Direction Ratios

Direction Cosines from Direction Ratios

For direction ratios:

$$l:m:n$$

the direction cosines are:

$$\cos\alpha=\frac{l}{\sqrt{l^2+m^2+n^2}}$$

$$\cos\beta=\frac{m}{\sqrt{l^2+m^2+n^2}}$$

$$\cos\gamma=\frac{n}{\sqrt{l^2+m^2+n^2}}$$

Usage

- Used to convert direction ratios into direction cosines.

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