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Dot product and the angle between vectors

Dot product

Concept 5 of 8 in Vector Algebra

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Think about this

Are a⃗=2i^−j^+3k^\vec a = 2\hat i - \hat j + 3\hat k and b⃗=i^+5j^+k^\vec b = \hat i + 5\hat j + \hat k perpendicular? You can't draw space accurately enough to see.