AQA FP4 - Direction cosines of a line

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Finding the direction cosines of a line
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what is the programme you have used to plot these points?

the_growth_mindset.
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Can you please explain What the topic is use for and any intuition behind it. Why not use the position vector, any trig rules involve and how come a X divide by vector magnitude gives an angle/ why cos

domewallcelllion