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Chapter 6: Problem 8
The two basic vector operations are scalar ________ and vector ________ .
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In Exercises 67-82, use DeMoivre's Theorem to find the indicated power of the complex number. Write the result in standard form. $$ 4(1-\sqrt{3} i)^{3} $$
In Exercises 15-32, represent the complex number graphically, and find the trigonometric form of the number. \(-2(1 + \sqrt{3}i)\)
In Exercises 67-82, use DeMoivre's Theorem to find the indicated power of the complex number. Write the result in standard form. \((3\ -\ 2i)^5\)
In Exercises 59-64, (a) write the trigonometric forms of the complex numbers, (b) perform the indicated operation using the trigonometric forms, and (c) perform the indicated operation using the standard forms, and check your result with that of part (b). \(-2i(1\ +\ i)\)
In Exercises 67-82, use DeMoivre's Theorem to find the indicated power of the complex number. Write the result in standard form. \([3(\cos\ 15^{\circ}\ +\ i\ \sin\ 15^{\circ}]^4\)
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