Learn how to find the magnitude and direction of vectors using components or angles. Includes clear formulas, quadrant analysis, and fully worked examples.

The following calculator will calculate the magnitude and direction of a vector. For any vector , enter the x component and y component in the calculator below to obtain the magnitiude and direction.

Vectors are quantities that are fully described by magnitude and direction. The direction of a vector can be described as being up or down or right or left. It can also be described as being east or west or …

Dec 8, 2025 · Vector quantities are physical quantities that have both direction and magnitude, like displacement, velocity, force, etc. The direction represents the way in which the vector is pointing.

This is a vector: A vector has magnitude (size) and direction: The length of the line shows its magnitude and the arrowhead points in the direction.

Feb 18, 2026 · This wikiHow guide will show you how to find the direction of a vector and walk through four examples. Additionally, we’ll review how to find the magnitude of a vector.

Dec 2, 2025 · A vector is a quantity that has both **magnitude** (how big) and **direction** (which way). Many important physical quantities are vectors: displacement, velocity, acceleration, and force all …

Feb 16, 2025 · When applying a force, we are concerned with both the magnitude and direction of that force. In both of these examples, direction is important. Because of this, we study vectors, …

Aug 11, 2023 · An educational module for Earth science majors teaching vector fundamentals—magnitude, direction, components, addition, and scalar multiplication—with …

To work with a vector, we need to be able to find its magnitude and its direction. We find its magnitude using the Pythagorean Theorem or the distance formula, and we find its direction using the inverse …