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Grade 12 Calculus and Vectors: Unit 7 - Cartesian Vectors

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Grade 12 Calculus and Vectors Unit 7 Notes on Cartesian Vectors. Topics including scalar multiplication, dot product, properties of dot product, application of dot product, work, scalar/vector projections, vectors in 3 space, collinear vectors, cross product in 3 space, applications of cross product, torque, and volume of a parallelepiped.

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7 i Cartesian vectors

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at

e on s in e s
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All vectorsaredescribedfrom theorigin
i
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Any 2 points can be joined to make a vectorgivedirection
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Adding cartesian vectors
subtraction

3,53 12,3
i vectoraddition is componentaddition

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man

, Scalar multiplication
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of a vector
Magnitude so
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7.2 botproduct
The dotproduct of two vectorswillproduce a scalarvalue
R2R RT

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  • calculus and vectors
  • vectors
  • grade 12
  • unit 7
  • cartesian vectors
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