Before the dot product - Linear Algebra 2
by Froga
The handful of ideas Linear algebra 2 builds on: multiplying matching parts, what a right angle means for two arrows, Pythagoras, and why "similar" can mean "pointing the same way". About ten minutes.
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Study material
Prices (2, 3) and amounts (4, 1): multiply the matching parts, 2·4 and 3·1, then add them up. That calculation has a name, the dot product, and Linear algebra 2 is all about it.
A shop sells apples at 2 each and pears at 3 each. You buy 4 apples and 1 pear. What do you pay?
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2·4 + 3·1.
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