label each statement true or false. The sum of two complex numbers is sometimes a real number.

dohtarjev510
2022-02-11
Answered

label each statement true or false. The sum of two complex numbers is sometimes a real number.

You can still ask an expert for help

Dzikowiec5wa

Answered 2022-02-12
Author has **13** answers

Consider the complex numbers 2+3i and 2-3i.

Note that the sum of the above two complex numbers is 4 which is real number.

Thus, the statement "The sum of two complex numbers is sometimes a real number" is true.

Note that the sum of the above two complex numbers is 4 which is real number.

Thus, the statement "The sum of two complex numbers is sometimes a real number" is true.

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Let $[\mathbf{a}\times \mathbf{b}\text{}\phantom{\rule{thickmathspace}{0ex}}\mathbf{b}\times \mathbf{c}\text{}\phantom{\rule{thickmathspace}{0ex}}\mathbf{c}\times \mathbf{a}]=k[\mathbf{a}\text{}\mathbf{b}\text{}\mathbf{c}{]}^{2}$. Find k. Here, $[\mathbf{u}\text{}\mathbf{v}\text{}\mathbf{w}]=\mathbf{u}\cdot (\mathbf{v}\times \mathbf{w})$

My attempt:

Writing scalar triple product as : $(\mathbf{a}\times \mathbf{b})\cdot {\textstyle (}(\mathbf{b}\times \mathbf{c})\times (\mathbf{c}\times \mathbf{a}){\textstyle )}$. Not able to proceed next.

My attempt:

Writing scalar triple product as : $(\mathbf{a}\times \mathbf{b})\cdot {\textstyle (}(\mathbf{b}\times \mathbf{c})\times (\mathbf{c}\times \mathbf{a}){\textstyle )}$. Not able to proceed next.

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How do you get$(\frac{\pi}{4}+2\pi )$

How do you get

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I have to prove that:

$f(x)=P(x)+{P}^{\prime}(x)+P"(x)+......+{P}^{n}(x)\ge 0$ for all x

$f(x)=P(x)+{P}^{\prime}(x)+P"(x)+......+{P}^{n}(x)\ge 0$ for all x