Scalar Product

Learning tasks

A) Definition
1) Calculating the Scalar Product from Norms and an Angle	Ex 1 Ex 2 Ex 3 Ex 4
2) Calculating the Scalar Product from a Geometric Figure	Ex 5 Ex 6 Ex 7
3) Calculating Scalar Products in Plane: Level 1	Ex 8 Ex 9 Ex 10 Ex 11
4) Calculating Scalar Products in Plane: Level 2	Ex 12 Ex 13 Ex 14 Ex 15
5) Calculating an Angle from Coordinates in Plane	Ex 16 Ex 17 Ex 18 Ex 19
B) Properties
6) Calculating with Scalar Product Properties	Ex 20 Ex 21 Ex 22 Ex 23
7) Calculating the Scalar Product from Norms	Ex 24 Ex 25 Ex 26 Ex 27
C) Geometrical Interpretations
8) Calculating the Scalar Product by Orthogonal Projection	Ex 28 Ex 29 Ex 30
9) Demonstrating Orthogonality	Ex 31 Ex 32 Ex 33 Ex 34 Ex 35
10) Finding an Unknown for Orthogonality	Ex 36 Ex 37 Ex 38 Ex 39
D) Midpoint Theorem and Applications
11) Determining a Locus of Points	Ex 40 Ex 41 Ex 42 Ex 43

Lesson
Text book

Exercises Correction
A) Definition
    1) Calculating the Scalar Product from Norms and an Angle Ex 1 Ex 2 Ex 3 Ex 4
    2) Calculating the Scalar Product from a Geometric Figure Ex 5 Ex 6 Ex 7
    3) Calculating Scalar Products in Plane: Level 1 Ex 8 Ex 9 Ex 10 Ex 11
    4) Calculating Scalar Products in Plane: Level 2 Ex 12 Ex 13 Ex 14 Ex 15
    5) Calculating an Angle from Coordinates in Plane Ex 16 Ex 17 Ex 18 Ex 19
B) Properties
    6) Calculating with Scalar Product Properties Ex 20 Ex 21 Ex 22 Ex 23
    7) Calculating the Scalar Product from Norms Ex 24 Ex 25 Ex 26 Ex 27
C) Geometrical Interpretations
    8) Calculating the Scalar Product by Orthogonal Projection Ex 28 Ex 29 Ex 30
    9) Demonstrating Orthogonality Ex 31 Ex 32 Ex 33 Ex 34 Ex 35
    10) Finding an Unknown for Orthogonality Ex 36 Ex 37 Ex 38 Ex 39
D) Midpoint Theorem and Applications
    11) Determining a Locus of Points Ex 40 Ex 41 Ex 42 Ex 43