Vector Algebra and Analytical Geometry

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12 Terms

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A vector is an unique quantity that has:

  • magnitude

  • direction

  • orientation

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Examples of vectors

velocity, acceleration, weight

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What are the two types of vectors?

position vectors and direction vectors

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What is a scalar quantity?

A quantity that only has magnitude

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Examples of scalars quantities

Time, mass, speed

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Definition of a position vector

A vector that starts from the origin

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Definition of direction vectors

A vector that doesn’t start from the origin

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What is the magnitude of a vector?

|a| is called the magnitude of a

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Three types of equations:

  1. Parametric equations

  2. Non-parametric equations

  3. Linear equations

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Parametric equation (λ)

g: X=x + λv

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Non-parametric equation

ax + by = c

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Linear equation

y = mx + c