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Lesson: Equation of a Straight Line in Space: Parametric Form Mathematics

In this lesson, we will learn how to find the parametric equations of straight lines in space.

Lesson Plan

Students will be able to

find the parametric equations of straight lines in space given a point and a direction vector or given two points,
convert Cartesian and vector equations of lines in space into parametric equations.

Q1:

Give the parametric equation of the line through the origin with direction vector .

Q2:

Give the parametric equation of the line on point , with direction vector .

Q3:

Write the equation of the straight line passing through the points and in parametric form.