The formula for finding the magnitude of a vector is √(x² + y²), where x and y are the components of the vector in the x and y directions, respectively.
The magnitude of a vector represents its length or size, and is directly related to the components of the vector. The x and y components represent the horizontal and vertical lengths of the vector, and the magnitude is the hypotenuse of a right triangle formed by the x and y components.
No, the magnitude of a vector is always a positive value. It represents the distance or length of the vector and cannot be negative.
The magnitude of a vector is typically measured in the same units as its components. For example, if the x and y components of a vector are measured in meters, then the magnitude of the vector will also be measured in meters.
In three-dimensional space, the magnitude of a vector is calculated using the formula √(x² + y² + z²), where x, y, and z are the components of the vector in the x, y, and z directions, respectively.