MCV4U Introduction to Geometric Vectors
(Independent Study)
Work through the following sections in the text book at your own pace. Make notes
for yourself as you go, and complete practice exercises. Three days of class time will
be allocated for this work.
Expectations:
1. demonstrate an understanding of vectors in two-space and three-space by
representing them algebraically and geometrically and by recognizing their
applications;
2. perform operations on vectors in two-space and three-space, and use the
properties of these operations to solve problems, including those arising from realworld applications
6.1: Characteristics of Vectors – p. 275
Scalars vs. Vectors (examples)
Speed vs. Velocity
Magnitude of a Vector
Equivalent Vectors
Coordinate system to represent vectors
Connecting Vectors to 2-dimensional figures (Example 1)
Practice: p. 279 # 1,2, 4, 6ace, 8bd, 9, 11
6.2: Vector Addition – p. 282
Parallelogram representation
Triangle representation
Resultant Vector
Zero Vector
Difference of Two Vectors
Practice: p. 290 # 2, 3, 4, 7, 10, 11, 13, 17[TBF]
Gizmos: On-line: Vector Addtion (self-test)
6.3: Multiplication of a Vector by a Scalar – p. 293
Effect of k on k a
Collinear / Parallel vectors
Unit Vectors
Vector Diagrams
Direction Notation / Bearings
Problem Solving
Practice: 1, 3, 4, 5ad, 7, 11, 14, 17, 18, 22[TBF]
6.4: Properties of Vectors – p. 302
Commutative, Associative, Distributive  with sketches
Using Properties to perform vector operations
Practice: p. 306 # 1, 8, 9, 11
Consolidation / Extra Practice
Mid-Chapter Review - p. 308/309 (as needed)