Vector and Scalar Quantities
After completing this lesson you will be able to:
- Define the following terms: vector quantity, scalar
quantity, resultant vector, equivalent vectors,
- Distinguish between vector and scalar quantities
- Demonstrate an understanding of vector addition,
a resultant vector and resolving a vector into components.
- Represent vector quantities on neat, accurate
- Identify collinear and non-collinear vectors.
- Identify equivalent vectors.
- Add two or more collinear vectors and non-collinear mathematically
and graphically to determine the resultant vector.
- Solve problems involving collinear and non-collinear vectors.
- Scalar quantities consist of only a magnitude.
- Vector quantities consist of both a magnitude
and direction and can be represented by a vector.
- The direction of a vector is stated using square
brackets behind its magnitude.
- A vector is a line segment, drawn to scale, with
an arrowhead indicating direction.
- The tail of a vector is called the origin and
the tip or arrowhead is called the terminal point.
- Vectors can be collinear. A special type of collinear
vector is an equivalent vector.
- Vectors can be non-collinear. They are vectors that exist in more than one dimension.
- Collinear vectors may be added algebraically or
graphically using the tail-to-tip method.
- The sum of two or more vectors is called the resultant
- Non-collinear vectors can be added mathematically (Pythagorean Theorem, vector component method, Sine and Cosine Laws) to determine the resultant vector.