1. Polar numbers with the same angle can be added or subtracted directly without convers...

1. Polar numbers with the same angle can be added or subtracted directly without conversion to rectangular form. For example, the sum of . By means of sketches, indicate why this procedure is valid.

2. To compare methods of multiplication with small integer values, convert the numbers of (Example) to polar form, multiply them, then convert the answers back to rectangular form.

Reference Example

For computations involving purely real, purely imaginary, or small integer numbers, it is sometimes more convenient to multiply directly in rectangular form than it is to convert to polar. Compute the following directly: