Find all values of a (if any) so that the given vectors form an orthogonal set.
Definitions:
Misery Index
An economic indicator calculated by adding the unemployment rate to the inflation rate, aiming to measure economic distress felt by everyday people.
Nominal Interest Rate
The rate of interest before adjustment for inflation, as opposed to the real interest rate, which is adjusted.
Expected Rate
The anticipated return or yield on an investment, saving account, or financial product, often used in planning and financial projections.
Inflation
The hike in the broad cost of goods and services, resulting in a reduction of purchasing leverage.
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