Exercise R-2.12 uses the _ _mul_ _ method to support multiplying a Vector by a number, while Exercise R-2.14 uses the _ _ mul_ _ method to support computing a dot product of two vectors. Give a single...

Exercise R-2.12 uses the _ _mul_ _ method to support multiplying a Vector

by a number, while Exercise R-2.14 uses the _ _ mul_ _ method to support

computing a dot product of two vectors. Give a single implementation of

Vector. _ _mul_ _ that uses run-time type checking to support both syntaxes

u  * v and u * k, where u and v designate vector instances and k represents

a number.