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Applied Mathematics — Second Secondary
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Curriculum
Applied Mathematics — Second Secondary
Unit 1: Statics
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Forces
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Forces — Lesson quiz
6 questions
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Resolution of Forces
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Resolution of Forces — Lesson quiz
6 questions
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Resultant of Coplanar Concurrent Forces
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Resultant of Coplanar Concurrent Forces — Lesson quiz
6 questions
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Equilibrium of a Rigid Body under Coplanar Forces
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Equilibrium of a Rigid Body under Coplanar Forces — Lesson quiz
6 questions
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Equilibrium on a Rough Horizontal Plane
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Equilibrium on a Rough Horizontal Plane — Lesson quiz
6 questions
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Unit 2: Solid and Analytic Geometry
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Lines and Planes in Space
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Determining a plane
Positions of two lines in space
Line and plane, and two planes
Worked examples
Common mistakes
Lesson summary
Lines and Planes in Space — Lesson quiz
6 questions
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The Pyramid and the Cone
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The Pyramid and the Cone — Lesson quiz
6 questions
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Lateral and Total Area of Pyramid and Cone
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Lateral and Total Area of Pyramid and Cone — Lesson quiz
6 questions
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Volume of the Right Pyramid and Cone
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Volume of the Right Pyramid and Cone — Lesson quiz
6 questions
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Equation of a Circle
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Equation of a Circle — Lesson quiz
6 questions
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Text lesson
Lines and Planes in Space
Applied Mathematics — Second Secondary
Lines and Planes in Space
Explanation
Practice
Positions of two lines in space
Positions of two lines in space
In space
two straight lines can be in one of the following three positions:
Position
Definition
Condition
Parallel
They lie in one plane and do not meet
Their directions are parallel
Intersecting
They lie in one plane and meet at one point
They have exactly one common point
Skew
They do not lie in one plane
they are neither parallel nor intersecting
No common point
and their directions are not parallel
Skew lines can never be drawn in one plane
however we choose it.
Lines and Planes in Space · 2 / 6
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