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Chapter 3: Q5P (page 112)
In Problems 1 to 5, all lines are in the plane.
5. Write, in parametric form, the equation of the axis.
The parametric form of the equation of - axis is .
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For each of the following problems write and row reduce the augmented matrix to find out whether the given set of equations has exactly one solution, no solutions, or an infinite set of solutions. Check your results by computer. Warning hint:Be sure your equations are written in standard form. Comment: Remember that the point of doing these problems is not just to get an answer (which your computer will give you), but to become familiar with the terminology, ideas, and notation we are using.
Show that the given lines intersect and find the acute angle between them.
Evaluate the determinants in Problems 1 to 6 by the methods shown in Example 4. Remember that the reason for doing this is not just to get the answer (your computer can give you that) but to learn how to manipulate determinants correctly. Check your answers by computer.
The diagonals of a rhombus (four-sided figure with all sides of equal length) are perpendicular and bisect each other.
Find the rank of each of the following matrices.
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