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Memorize

The Dot Product

The single most-tested vector operation on CSCA. It outputs a number (not a vector).

a⋅b=a1​b1​+a2​b2​

Multiply components, add the results. Result is a scalar.

a1​b1​+a2​b2​

Component formula

Direct calculation

∣a∣∣b∣cosθ

Geometric formula

Same number, different angle

Result

A scalar

NOT a vector — it's a single number