# V3 - Vector Projection

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vCalc.V3 - Vector Projection
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The Vector Projection calculator computes the resulting vector (W)  that is a projection of vector V onto vector U in three dimensional space. Vector V projected on vector U

INSTRUCTIONS: Enter the following:

• (V): Enter the x, y and z components of V separated by commas (e.g. 3,4,2)
• (U): Enter the x, y and z components of U separated by commas (e.g. 3,4,2)

Vector Projection: The calculator returns the projection of V onto U (W) in comma separated form.

#### The Math / Science

1. Compute the magnitude of vector V
2. Compute angle between vectors V and U
3. Compute the unit vector of vector U
4. Compute the scalar (k) associated with the projection which is the magnitude of V times the cosine of the angle between them.
5. Compute the vector resulting in the scalar multiplication of the unit vector of U and the scalar (k).

3D Vector Functions