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Find a unit vector perpendicular to the plane through P(2, 1, -1), Q(-1, 1, 2) and R (1, -1, 2)


Let u=(-5, -2, 4), v= (3, 6, -5) and w = (-7, 1, -8)

a) Calculate (u × v).w and hence find the volume of the parallelepiped with adjacent sides u, v, and w.

b) Show that vector (u - projwu) and w are orthogonal.

c) Use the cross product to find the angle between u and w.

Consider the reaction between the Co³+ion and nickel metal:



Co³+ (aq) + Ni(s) → Co²+ (aq) + Ni²+ (aq)



a. Write the half-equations for the reactions of the equation


b. Write the overall balance reaction.

How big of a role do green issues such as energy efficiency


Determine the molar mass of an unknown nonvolatile solute of nonelectrolyte compound raising the boiling point of 150 g of benzene by 0.500°C.



Write Z = 4√(3) e(7π/4)i in algebraic form


A closely wound 0.20m × .20 m square coil of 100 turns is exposed to an external magnetic field of 0.74 T that is perpendicular to the plane of the coil. The coil is then rotated for 10 s until it makes 60 degrees with the magnetic field. Find the average induced electromotive force during the 10 s interval.

A rectangular surface of length 3.25 cm and width 5.25 cm lies on the x-z plane at y=0. What is the flux through this surface due to a uniform magnetic field of 0.65 T directed 60° from the +x-axis?

implement the class Loan with the following requirements:

A member variable that will hold the annual interest rate of the loan. Its default value will be 2.5.

A member variable that will hold the number of years for the loan. Its default value will be 1.

A member variable that will hold the loan amount. Its default variable will be 1000.

A default constructor.

Another constructor that has interest rate, years, and loan amount as its parameters.

A member function that returns the annual interest rate of this loan.

A member function that returns the number of the years of this loan.

A member function that returns the amount of this loan.

A member function that sets a new annual interest rate to this loan.

A member function that sets a new number of years to this loan.

A member function that sets a new amount to this loan.

A member function that returns the monthly payment of this loan.

A member function that returns the total payment of this loan.


Implementing using

class Loan


Sample Run:

Enter yearly interest rate, for example 8.25: 10

Enter number of years as an integer, for example 5: 5

Enter loan amount, for example 120000.95: 300000

The monthly payment is 6374.11

The total payment is 382446.80



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