Answer:
Geometrically, ca is an extension or contraction of a, and algebraically is a multiplication of c times every coordinate of a.
Step-by-step explanation:
A vector is an element of a vectorial space which could have n-coordinates (or dimensions). A scalar is just a number (they don't specify if it is real, complex, rational, etc.).
In order to find ca (or c*a), we have that, in general
[tex]a=(x_{1},x_{2},...,x_{n})[/tex]
is the vector a, and ca is c times the vector a
[tex]ca=(x_{1},x_{2},...,x_{n})=(cx_{1},cx_{2},...,cx_{n})[/tex]
Geometrically, this represents an extension or contraction of the vector a.
