position vector
In the space
, the vector
directed from the origin to a point
is the position vector of this point. When the point is variable,
represents a vector field
and its length
a scalar
field.
The simple formulae
are valid, where
is the unit vector
having the direction of
.
If
is a constant vector,
a vector function
and
is a twice differentiable function, then the formulae
hold.
- 1
- K. V¨AISÄLÄ: Vektorianalyysi. Werner Söderström Osakeyhtiö, Helsinki (1961).
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