By using this website, you agree to our Cookie Policy. Your email address will not be published. For any given vector, it’s possible to find the unit vector that has the same direction as the given vector. This unit vector calculator will help you transform any vector into a vector of length 1 without changing its direction.
Find the Unit Vector in the Opposite Direction to a Given Vector An interactive step by step calculator to find the unit vector in the opposite direction of a given vector is presented. Statology is a site that makes learning statistics easy. To do that, you have to apply the following formula: You can calculate the magnitude of a vector using our distance calculator or simply by the equation. To calculate the unit vector in the same direction, you have to follow these steps: Write down the x, y and z components of the vector.

The solver may also be used to generate as many examples as needed along with their solutions with detailed explanations. In this case, x₁ = 8, y₁ = -3 and z₁ = 5.

If it is, the magnitude of your unit vector should be equal to 1. Vector … In this case, x₁ = 8, y₁ = -3 and z₁ = 5. This website uses cookies to ensure you get the best experience. Thanks for the feedback. When the unit vector is used to describe a spatial direction, it can be called a direction vector. you divide that vector by its magnitude as follows: Note that this formula uses scalar multiplication, because the numerator is a vector and the denominator is a scalar. Find other pairs of vectors whose directions add up to 90° More References and Links Find magnitude and direction of vectors Vector Calculators. How to calculate the unit vector. Check out 22 similar linear algebra calculators , Now that you know the magnitude of the vector.