Adding and Subtracting Vectors

Combining journeys

Adding vectors is like walking one route then another - add up the "across" parts and the "up" parts separately to get where you end up overall.

Example: a = (3,2), b = (1,5).
a + b = (4,7). a - b = (2,-3).

Scalar multiplication

2a means "do vector a's journey twice": 2 × (3,2) = (6,4).

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Related Exercises

Add, subtract and scale vectors

Given a = (4,-1) and b = (2,3), find a + b.Find a - b.Find 3a.Find 2a + b.

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