Vector Addition Verify the resultant vector. Find the direction and magnitude of the equilibrant force. Theory The Physical quantities can be: Scalar - is a quantity that has only a magnitude. Example - Time, Speed Vector - quantity deals inherently with both magnitude and direction. Example - Force, Velocity Arrows are used to represent vectors. The direction of the arrow gives the direction of the vector. By convention, the length of a vector arrow is proportional to the magnitude of the vector. There are coordinates systems using to measure the vector direction: RECTANGULAR COORDINATES USE X,Y POINTS TO INDICATE DISPLACEMENTS AND DIRECTIONS. POLAR COORDINATES USE MAGNITUDES (LENGTHS) AND ANGULAR DIRECTION. THE ANGULAR DIRECTION MAY BE EXPRESSED IN DEGREES OR RADIANS. DIRECTIONS CAN ALSO BE INDICATED IN GEOGRAPHIC TERMS SUCH AS NORTH, SOUTH, EAST AND WEST. Graphical Method To add one vector to another. Picture 9 The tail of one vector, in this case , is moved to the head of the other vector . The vector sum ( is the vector that extends from the tail of one vector to the head of the other. The sum of the vectors is called the resultant. When solving for the resultant force