Resolution of vectors

Resolution of vectors is the process of breaking a vector down into its component parts.
This is often useful in physics and engineering problems where vectors are used to represent physical quantities such as velocity or force.

Components: A vector can be broken down into two or more components, which are vectors in their own right.
Orthogonal: Components of a vector are typically chosen to be orthogonal, meaning they are at right angles to each other.
Magnitude: The magnitude of a component is equal to the length of the component along a particular axis.
Direction: The direction of a component is specified by its angle relative to a particular axis.
X-component: The x-component of a vector is the component that lies along the x-axis.
Y-component: The y-component of a vector is the component that lies along the y-axis.
Addition: The components of a vector can be added together to form the original vector.
Trigonometry: Trigonometry is often used to find the magnitude and direction of components.
Scalar Projection: The scalar projection of a vector is the component that lies along a particular direction.
Vector Projection: The vector projection of a vector is a vector that lies along a particular direction.
Parallelogram Law: The parallelogram law states that the vector sum of two vectors is equal to the diagonal of the parallelogram formed by the vectors.
Triangle Law: The triangle law states that the vector sum of two vectors is equal to the third side of the triangle formed by the vectors.