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Problem 1004

Write each of the following in the form a \(+\) bi. (a) \((2+4 i)+(3+i)\) (b) \((2+i)-(4-2 i)\) (c) \((4-i)-(6-2 i)\) (d) \(3-(4+2 i)\)

Expert verified

(a) \(5+5i\)
(b) \(-2+3i\)
(c) \(-2+i\)
(d) \(-1-2i\)

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Chapter 31

Add \((3+4 i)\) and \((2-5 i)\)

Chapter 31

simplify \((3-5 i) /(2+3 i)\)

Chapter 31

Express each of the following in rectangular form, \(a+b i\). (a) \(3\left(\cos 30^{\circ}+\mathrm{i} \sin 30^{\circ}\right)\) (b) \(10\left(\cos 180^{\circ}+\mathrm{i} \sin 180^{\circ}\right)\)

Chapter 31

Find the real numbers a and \(\mathrm{b}\) such that \((a+b i)+(2-3 i)=2(-2+i)\)

Chapter 31

Find the magnitude and direction of the force necessary to counteract the effect of a force of 60 pounds and a force of 40 pounds that act on a point at an angle of \(60^{\circ}\) with each Other.

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