Vectors Formula Sheet

Vectors Formula Sheet

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Component Form & Magnitude

A=(x_1, y₁) B=(x₂, y₂)

Unit Vector

Direction Angle

Dot Product & Is it Orthogonal

u=₁, u₂> , v=₁, v₂>

Angle Between Two Vectors

Vector Projections (Find w₁ & w₂)

Cross Product & Area of Parallelogram

u = <u₁, u₂, u₃> , v = <v₁, v₂, v₃>

Volume of a Parallelepiped

t=_1, <t₂, t₃>, u=₁, <u₂, u₃>, v=₁, <v₂, v₃>