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Vectors and the Dot Product
The purpose of this assessment is to help you determine whether you have a clear understanding of vectors and dot products.
Answer the following questions to complete this exercise:
In the following case, state if the following set of vectors are linearly independent or linearly dependent. Justify your answer.
A long straight fence made of conducting wire mesh separates two fields and stands one meter high. Sometimes, on fine days, there is a vertical electric field over flat open countryside. Well away from the fence the strength of the field is E .
Tom, Dick, and Harry have an average (arithmetic mean) of 120 baseball cards. Tom has 1½ as many cards as Dick, and Harry has ½ as many as Dick. How many baseball cards does Tom have?
At a certain point in time the height is 15cm 1 and is increasing at the rate of 1cm/hr; the radius is 2cm and decreasing at the rate 10 cm/hr. Is 1 the volume (V = 3 r2 h) increasing or decreasing at this instant? At what rate?
question use inverse trigonometric functions to find a solution to the equation cosx0.6 in the interval 0 leq x leq
total cost of producing x toasters per day is given by C = (1/10xsquared+20x+25)and the selling price for each toaster is (44-1/5x). how many toasters should be produced each day in order to maximize the total profit.
A spring with a 2 kg mass attached to it has spring constant 8 N/m and no damping. There is an external force given by F(t) = 24 sin 2t N, where t is time. The mass is initially stretched 2 m beyond the equilibrium position and released with an in..
A baseball team plays in a stadium that holds 59000 spectators. With ticket prices at $10, the average attendance had been 5000. When ticket prices were lowered to $8, the average attendance rose to 15000.
An analysis shows that 2.97g of iron metal combines with oxygen to form 4.25g of an oxide of iron, what is the empirical formula of the compound
Which of the following is not a characteristic of an ideal statistician?
It then flies straight through the air to the top of the tree. What is the angle of the crow's flight path relative to the ground
Discover a magical U.S. nickel (5 cent piece) that has the power to double (in quantity) each day when placed in fertile soil. After being planted in the soil for one day you now have 2 nickels, after two days you have 4 nickels, after three days you..
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