5.1 Algebraic Vectors

In R² or 2D:

Any Vector “u” can be written like

u = OP = (a, b) or u = OP = ai + bj

Torque – (T) the unit is Newton meters. The dot product of two vectors was a consequence of a physical application of Work.

Physics also provides us with the cross product. The characteristics of a force causing rotational motion is called its turning effort or Torque

Some examples are:

Triangle Congruence Theorem – ASA SSS SAS HS HA

Angle Sum Theorem (AST) - Sum of angles in a triangle = 180 degrees.

Opposite Angle Theorem (OAT) - Opposite angles of two intersecting lines are equal.