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Vector Projection

The vector projection of a vector a on (or onto) a nonzero vector b (also known as the vector component or vector resolution of a in the direction of b) is the orthogonal projection of a onto a straight line parallel to b.

The projected distance equals the cosine of the plane angle times the vector magnitude.

Formula

QuantityVariable["x", "Length"] == Cos[QuantityVariable["θ", "Angle"]]*QuantityVariable["L", "Length"]

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Vector Projection"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Vector Projection"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Vector Projection"], {QuantityVariable["L","Length"] -> Quantity[10, "Meters"]}]
Out[3]=

Publisher Information