A vector is a mathematical representation of a physical quantity that has both magnitude and direction.
To add or subtract vectors, you first need to determine their components (magnitude and direction). Then, you can use vector addition or subtraction rules to find the resultant vector.
Scalar quantities only have magnitude, while vector quantities have both magnitude and direction. Examples of scalar quantities include speed and temperature, while examples of vector quantities include velocity and force.
To resolve a vector into its components, you need to use trigonometric functions (sine, cosine, and tangent) and the vector's magnitude and direction. This will give you the horizontal and vertical components of the vector.
Resolving vectors allows us to break down a complex vector into simpler components, making it easier to analyze and solve problems. This is especially useful in physics and engineering, where multiple forces acting in different directions need to be considered.