Data tables in Pivot Tables allow dynamic analysis of data by varying input values and observing their impact on outputs. The two main types of data tables are:
1. Single-variable data tables: - Used to evaluate how changes in a single input affect the outcome of a formula. - For example, testing the impact of varying interest rates on loan repayments while keeping other variables constant.
2. Two-variable data tables: - Analyze the combined effect of two different variables on a formula. - For instance, examining the impact of varying both interest rates and loan amounts on monthly installments.
Key Features of Data Tables: - Automatically update results when input values or the linked formula changes. - Provide a structured format to visualize multiple scenarios. - Simplify sensitivity analysis for decision-making processes.
Advantages of Data Tables: - Useful in "What-If" analysis to model different scenarios efficiently. - Help users make informed decisions by comparing outcomes under varying assumptions. - Time-saving for repetitive calculations, as they eliminate the need to create multiple individual formulas.
If vector \( \mathbf{a} = 3 \hat{i} + 2 \hat{j} - \hat{k} \) \text{ and } \( \mathbf{b} = \hat{i} - \hat{j} + \hat{k} \), then which of the following is correct?