Chapter 9.4, Problem 95AYU

To determine

To write: a brief paragraph comparing the algebra of complex numbers and algebra of vectors.

Explanation of Solution

Algebra of complex numbers:

Complex Number is an algebraic expression including the factor $i=\sqrt{-1}$ . These numbers have two parts, one is called as the real part and is denoted by Re(z) and other is called as the Imaginary Part. Imaginary part is denoted by Im(z) for the complex number represented by 'z'.

Algebra of vectors:

Vector algebra is one of the essential topics of algebra. It studies the algebra of vector quantities. As we know, there are two types of physical quantities, scalars and vectors. The scalar quantity has only magnitude, whereas the vector quantity has both magnitude and direction.