Final answer:
The subject involves operations with complex numbers, ensuring the use of correct algebra, significant figures, and proper units for final answers. The solutions must be checked for their reasonableness.
Step-by-step explanation:
The question pertains to operations with complex numbers, specifically to complete the indicated operations and check if the solutions make sense. When dealing with complex numbers, it is essential to correctly use the algebra of complex numbers, which includes addition, subtraction, multiplication, and division. To ensure accuracy, one must also express answers with the correct number of significant figures and proper units, where applicable. For angles, units of radians should be used.
Here is a step-by-step approach to handling such problems:
Identify the operation required (addition, subtraction, multiplication, division) with the complex numbers.
Use appropriate formulas and algebraic rules for complex numbers to carry out the operation.
Substitute the known values along with their units and calculate to obtain the solution.
Express the final answer with the proper number of significant figures and, if relevant, include units (like radians for angles).
Check the reasonableness of the answer to ensure it makes sense both numerically and in terms of the physical context, if applicable.
Correctly simplifying algebra and verifying the reasonableness of results are both crucial to solving complex number problems effectively.
The complete question is: Complete the indicated operations with complex numbers and match each operation with the correct answer. is: