Processing...

`V' = k * V`

Enter a value for all fields

The **Vector Scalar Multiplication** formula, (k * **V**), computes the vector * Vector in three dimensions* which is the result of a scalar multiplication of a vector (

**INSTRUCTIONS:** Enter the following:

- (
**k**) Scalar - (
**V**) Vector (comma separated x,y,z values e.g., 3,4,5)

**Scalar Multiplication (V'):** The calculator returns the resulting vector (V') in comma separated form.

**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.**(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- Vector Normal to a Plane Defined by Three Points