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Magazine Problem 94
In converting \(r=5\) from a polar equation to a rectangular equation, describe what should be done to both sides of the equation and why this should be done.
Problem 95
If two vectors are expressed in terms of \(\mathbf{i}\) and \(\mathbf{j}\), explain how to find their sum.
Problem 98
Explain how to find the product of two complex numbers in polar form.
Problem 98
What is the zero vector?
Problem 100
Explain how to find the power of a complex number in polar form.
Problem 101
Explain how to write a vector in terms of its magnitude and direction.
Problem 102
The rectangular coordinates of a point are given. Use a graphing utility in radian mode to find polar coordinates of each point to three decimal places. $$(-4.308,-7.529)$$
Problem 103
Use vectors to explain why it is difficult to hold a heavy stack of books perfectly still for a long period of time. As you become exhausted, what eventually happens? What does this mean in terms of the forces acting on the books?
