Math 12

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Math 12 Review chapter 3: Coordinate method in space

Math 12 Review chapter 3: Coordinate method in space 1. Summary of theory 1.1. Coordinate system in space a) Coordinates of the point and of the vector – Coordinates of vectors in space In Oxyz space, for the vector (vec{u}) there exists a unique set of numbers ((x,y,z)) such that: (overrightarrow{u}=(x;y;z) ))(Leftrightarrow vec{u}=xvec{i}+yvec{j}+zvec{k}.) The set …

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Math 12 Review Chapter 2: Cone, Cylindrical, and Sphere

Math 12 Review Chapter 2: Cone, Cylindrical, and Sphere 1. Summary of theory 1.1. Concepts to remember Cone face, cone, cone block. Cylinder, cylinder, cylinder. Sphere, sphere, relative position between the sphere and the line, plane. 1.2. Formulas for calculating volume and area to remember a) Formulas for area and volume related to cones and …

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Math 12 Chapter 3 Lesson 1: Coordinate system in space

Math 12 Chapter 3 Lesson 1: Coordinate system in space 1. Summary of theory 1.1. Coordinates of the point and of the vector a) Coordinate system In space, let the three axes xOx’, yOy’, zOz’ perpendicular to each other one by one. The vectors (overrightarrow i ,,,overrightarrow j ,,overrightarrow k) are unit vectors on the …

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