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`hatU = vecV"/" |vecV|`

Enter a value for all fields

The **Unit Vector** calculator, **U = V/|V|**, computes the unit vector (**U**) for a vector (**V**) in Euclidean three dimensional space.

**INSTRUCTIONS:** Enter the following:

- (V): Vector V
- (n): Round to this many digits.

**Unit Vector (U): **The calculator returns the unit vector (U).

To compute the Unit Vector, this calculator:

- Accepts a three dimensional vector with X, Y and Z components of vector (V),
- Calculates the magnitude of the vector |V|,
- Uses scalar multiplication to divide each of the vectors components by the magnitude.

The result is a vector (U) that points in the same direction as the original vector (V), but with a magnitude of one.

**k⋅V**- scalar multiplication**V/k**- scalar division**V / |V|**- Computes the**Unit Vector****|V|**- Computes the**magnitude of a vector****U + V**- Vector addition**U - V**- Vector subtraction**|U - V|**- Distance between vector endpoints.**|U + V|**- Magnitude of vector sum.**V • U**- Computes the dot product of two vectors**V x U**- Computes the cross product of two vectors**V x U • W**- Computes the mixed product of three vectors**Vector Angle**- Computes the angle between two vectors**Vector Area**- Computes the area between two vectors**Vector Projection**- Compute the vector projection of V onto U.**Vector Rotation**- Compute the result vector after rotating around an axis.**Vector Components 3D**- Returns a vector's magnitude, unit vector, spherical coordinates, cylindrical coordinates and angle from each axis.**(ρ, θ, φ) to (x,y,z)**- Spherical to Cartesian coordinates**(x,y,z) to (ρ, θ, φ)**- Cartesian to Spherical coordinates**(r, θ, z) to (x,y,z)**- Cylindrical to Cartesian coordinates**(x,y,z) to (r, θ, z)**- Cartesian to Cylindrical coordinates**(x,y) to (r, θ)**- Cartesian to Polar**(r, θ) to (x,y)**- Polar to Cartesian- Vector Normal to a Plane Defined by Three Points