V3 - scalar multiplication

Tags:

scalar multiplication 3D - Euclidean Vectors

Rating

ID

vCalc.V3 - scalar multiplication

UUID

a3bb69f4-9b58-11e4-a9fb-bc764e2038f2

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)  The scalar
• (V)  This is the x, y, and z components of the vector separated by commas (e.g.  3.2, 5.8, 1.9)

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

3D Vector Functions

• multiply a vector by a scalar
• divide a vector by a scalar
• add two vectors
• subtract two vectors
• compute the dot product of two vectors
• compute the cross product of two vectors
• compute the unit vector of a vector
• compute the magnitude of a vector
• project a vector onto another vector
• compute the angle between two vectors
• rotate a vector around an axis
• convert spherical coordinates into a vector
• convert a vector into spherical coordinates

References

• Light and Matter by Benjamin Crowell, Chapter 7.1 Vector Notation