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1. Compute meet and join of two vectors a and b in general position, and show that the magnitude of their meet (relative to their join) is the sine of their angle. Relate the sign of the sine to the order of intersection. In this case, the meet should be antisymmetric.
2. As an exercise in symbolic manipulation of the products so far, let us consider the meet of a ∧ B and a ∧ C, where a is a vector and the blades B and C have no common factor. The answer should obviously be proportional to a, but what precisely is the proportionality factor? (Hint: If you get stuck, the next exercise derives the answer as (a ∧ B ∧ C)∗.)
Suppose that the price of labor increases, if the firms wishes to continue to produce the current level of output how will the firms optimal input choice change (relative to its current choice)? Support your answer with graph.
Explain the basis of one of the Leading Economic Indicators. What local indicators of improved economic conditions might one see in his or her local community, town or city?
Under a fixed exchange rate regime, we know that an increase in stock market wealth that increases consumption will cause:
What is the market price and market output of smoodie in the short run and how many smoodies does each firm produce an hour? What is the economic profit made or economic loss incurred by each firm? Explain and show how you calculated.
Originally the consumer faces the budget constraint p1x1+p2x2=m, then the price of good 1 doubles, the price of godd 2 becomes 8 times larger and income becomes 4 times larger. what are the effects of the changes on the budget line.
Assume there is an increase in the price of electricity (which is the result of a decrease in the supply of electricity), and electricity and natural gas are substitutes. How would this affect the demand for natural gas, and what would happen to the ..
Agree or disagree and explain. The AD schedule slopes downward because real income rises as the price level declines and everybody buys more as the real income rises.
For a closed economy, the IS curve describes short-run movements in an economy via which of the following? According to the Phillips curve, if current output is above potential output (a boom), According to the Phillips curve, in general during a rec..
how demand and supply determines prices in "contemporary art market" and the effects on speculation
a payday loan company charges 4 percent interest for a two-week period. what would be the annual interest rate from
Should the Government increase, decrease or remain the same in its level of intervention when it comes to mandating that companies provide product information to consumers What happened to "caveat emptor" (buyer beware)
the demand curve for 48 sony flat screen televisions is likely to move to the right when consumer incomes increase.the
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