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Scalar Product

Learning tasks
              
Lesson
Text book
Exercises Correction
A) Definition
    1) Calculating the Scalar Product from Norms and an AngleEx 1 Ex 2 Ex 3 Ex 4
    2) Calculating the Scalar Product from a Geometric FigureEx 5 Ex 6 Ex 7
    3) Calculating Scalar Products in Plane: Level 1Ex 8 Ex 9 Ex 10 Ex 11
    4) Calculating Scalar Products in Plane: Level 2Ex 12 Ex 13 Ex 14 Ex 15
    5) Calculating Scalar Products in Space: Level 1Ex 16 Ex 17 Ex 18 Ex 19
    6) Calculating Scalar Products in Space: Level 2Ex 20 Ex 21 Ex 22 Ex 23
    7) Calculating an Angle from Coordinates in PlaneEx 24 Ex 25 Ex 26 Ex 27
    8) Calculating an Angle from Coordinates in SpaceEx 28 Ex 29 Ex 30 Ex 31
B) Orthonormal Bases
    9) Calculating Angles in 3D FiguresEx 32 Ex 33
    10) Calculating Angles in 3D FiguresEx 34 Ex 35
C) Properties
    11) Calculating with Scalar Product PropertiesEx 36 Ex 37 Ex 38 Ex 39
    12) Calculating the Scalar Product from NormsEx 40 Ex 41 Ex 42 Ex 43
D) Geometrical Interpretations
    13) Calculating the Scalar Product by Orthogonal ProjectionEx 44 Ex 45 Ex 46
    14) Demonstrating OrthogonalityEx 47 Ex 48 Ex 49 Ex 50 Ex 51
    15) Finding an Unknown for OrthogonalityEx 52 Ex 53 Ex 54 Ex 55
E) Midpoint Theorem and Applications
    16) Determining a Locus of PointsEx 56 Ex 57 Ex 58 Ex 59