Vectors

There are two types of quantities

    Scalar quantities require only magnitude
        Examples include counted items, time and speed

    Vector quantities require magnitude and direction.
        Examples include displacement, velocity, and acceleration.

Properties of Vectors 

    Equality of vectors
        Two vectors are equal if and only if their magnitudes and their directions are the same.

    Adding Vectors
        Vector A can be added to Vector B to form a Resultant Vector or Vector R
        Vectors follow the commutative law of addition
        Vector A + Vector B = Vector B + Vector A
        Vectors can be added geometrically.
            Use graph paper, ruler, compass, and protractor.
        Vectors can be added  algebraically.
            Use algebra and trigonometry
        Vectors can be added via the parallelogram method of addition.

    Negative of a vector
        Vector A + (-Vector A) = 0
        The negative of a vector has same magnitude as the original vector but the opposite direction.

    Subtracting Vectors
        Vector B can be subtracted from Vector A to form a Resultant vector R.
        Vector A - Vector B = Vector A + (-Vector B)
        Vector subtraction is a special case of vector addition.

    Multiplying a Vector by a Scalar
        Vectors can be multiplied by a scalar quantity.
            Vector A times the scalar quantity 2 results in 2 times Vector A.

Vector Components