The magnitude of a vector is the length or size of the vector. It is a scalar quantity, meaning it only has a numerical value and no direction.
The magnitude of a vector can be calculated using the Pythagorean theorem, which states that the magnitude is equal to the square root of the sum of the squared components of the vector. It can also be calculated using trigonometric functions.
The magnitude of a vector refers to its size, while the direction refers to the angle at which the vector is pointing. Both are important in fully describing a vector.
The unit of measurement for vector magnitude depends on the type of vector being measured. For example, displacement vectors may have units of meters, while force vectors may have units of Newtons.
The direction of a vector can be found by using trigonometric functions to calculate the angle between the vector and a reference axis, typically the positive x-axis. This direction is often given in degrees or radians.