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`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 (V) and a scalar (k).
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.
3D Vector Functions
- 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