We can also calculate the magnitude of a vector as the square root of the dot product of the vector with itself:īy definition, the magnitude of a unit vector is 1. As a result, the magnitude's value is always positive, which is why we can measure it in any experiment dealing with vector quantities. In this vector magnitude calculator, you can set the dimensionality of your vector so that the correct formula is chosen. |V| = √(x² + y² + z² + t² + w²) in 5-d space, and so on…Īs you can see in the formula for the magnitude of a vector, magnitude is the square root of the sum of vector components to the second power in all cases. The magnitude of a vector |V| can be estimated in numerous ways, depending on the dimensionality of the vector space.
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