1. Vectors

2. Vectors
Any quantity that requires both magnitude and direction for a complete description is a vector quantity.
A quantity that can be described by magnitude only, not involving direction is called a scalar quantity.

3. Vectors A vector quantity is represented by an arrow.
The length of the arrow represents the quantity’s magnitude
Direction points towards the movement.

4. Vectors The sum of two or more vectors is called their resultant.
To find the result of two vectors we use the parallelogram rule

5. Parallelogram Rule
A parallelogram is a four-sided figure with opposite sides parallel to each other.
Usually you determine the length of the diagonal by measurement, but in the special case in which two vectors X and Y are perpendicular, you can apply the Pythagorean Theorem, R2=X2+Y2
R= ( 𝑋 2 + 𝑌 2 )

6. Parallelogram Rule
Construct a parallelogram within the two vectors are adjacent sides – the diagonal of the parallelogram shows the resultant.

7. Components of Vectors

8. Components of Vectors
Just as two vectors at right angles can be combined into one resultant vectors any vector can be resolved into two component vectors perpendicular to each other

9. Components of Vectors
A vector V is drawn in the proper direction to represent a vector quantity.
Then vertical and horizontal lines (axes) are drawn at the tail of the vector.

10. Components of Vectors
Next, a rectangle is drawn that has V as its diagonal.
The sides of this rectangle are the desired components vectors X and Y.