At the end of this activity, students should be able to:
– represent a line on the plane by its vector equation
– transform the vector equation of a straight line into Cartesian form and vice versa.

Connected with

Vector equations of lines in 2-D [Class activity]

Consists of

The vector equation of a line [Animation]

Line parallel to a vector through a given point [Whiteboard exercise]

Examples of a vector equation of a line [Simulation]

A vector equation of a line passing through two points – justification [Animation]

Line through two given points [Whiteboard exercise]

A line passing through two points [Simulation]

Points and vector equation of the line [Animation]

Finding the position vector [Whiteboard exercise]

Points on the line [Whiteboard exercise]

Finding the vector equation [Whiteboard exercise]

Different vector equations of the same line [Animation]

Is the equation unique? [Whiteboard exercise]

Transforming the vector equation of a line [Animation]

From vector to Cartesian equation [Whiteboard exercise]

One intersection point [Animation]

No intersection points [Animation]

Coinciding lines [Animation]

Intersection of lines [Whiteboard exercise]

Finding intersection points [Whiteboard exercise]

Diagonals of the trapezium [Whiteboard exercise]

Matches with

Resources structure

Grade 12+

Mathematics

XVI. Vectors

103. Vector equations of lines in 2-D

NCS Mapping

Grade 12+

Mathematics

XVI. Vectors

103. Vector equations of lines in 2-D

Extension

YDP SA

Keywords

segments, equations, lines, points, parallel, position, vector, 2-d, coordinate, system, midpoint, vectors, arbitrary, collinear, Vector equations of lines in 2-D

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yTeach Executive

yTeach Premium Mathematics for Homeschool (Includes Grade 8-9)

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