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3 years ago

What does it mean to classify the real number?

Mathematics

2 answers:

Andrej [43]3 years ago

7 0

To classify a real number means to put it into a category like in the picture I clipped. Those are the different groups a number can be in

Sloan [31]3 years ago

6 0

The real numbers<span> includes both the rational and irrational numbers.</span>

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Inessa [10]

Answer:

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If a=i+7j+k and b=i+11j+k, find a unit vector with positive first coordinate orthogonal to both a and

Scilla [17]

Take the cross product, then normalize the result.

$\mathbf a\times\mathbf b=\begin{vmatrix}\mathbf i&\mathbf j&\mathbf k\\1&7&1\\1&11&1\end{vmatrix}=-4\,\mathbf i+4\,\mathbf k$

This has norm

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and so a unit vector orthogonal to both given vectors is

$\dfrac{\mathbf a\times\mathbf b}{\|\mathbf a\times\mathbf b\|}=-\dfrac1{\sqrt2}\,\mathbf i+\dfrac1{\sqrt2}\,\mathbf k$

An equally correct answer would be the negative of this vector, since $\mathbf b\times\mathbf a=-\mathbf a\times\mathbf b$ .

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3 years ago

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hram777 [196]

Answer:

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