# Describe one similarity between the zero vector and the number 0.

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Describe one similarity between the zero vector and the number 0.

2020-10-24
Step 1
The zero vector is represented as $$\displaystyle{0}\hat{{{j}}}+{0}\hat{{{j}}}+{0}\hat{{{k}}}$$
The number zero is represented as 0
Step 2
One similarity between the zero vector, $$\displaystyle{0}\hat{{{j}}}+{0}\hat{{{j}}}+{0}\hat{{{k}}}$$, and the number, 0, is that the magnitude of the number, 0, and the zero vector is same, which is equal to 0.

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Describe one similarity and one difference between the definitions of $$\displaystyle{\sin{{0}}}{\quad\text{and}\quad}{\cos{{0}}}$$, where 0 is an acute angle of a right triangle.
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Describe one similarity and one difference between the graphs of $$\displaystyle{x}\frac{{2}}{{25}}+{y}\frac{{2}}{{16}}={1}{\quad\text{and}\quad}{\left({x}-{1}\right)}\frac{{2}}{{25}}+{\left({y}-{1}\right)}\frac{{2}}{{16}}={1}$$.
Describe one similarity and one difference between the graphs of $$\displaystyle\frac{{x}^{{2}}}{{9}}-\frac{{y}^{{2}}}{{1}}={1}{\quad\text{and}\quad}\frac{{{\left({x}-{3}\right)}^{{2}}}}{{9}}-\frac{{{\left({y}+{3}\right)}^{{2}}}}{{1}}={1}$$.
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$$\displaystyle{y}^{{2}}={4}{x}{\quad\text{and}\quad}{\left({y}-{1}\right)}^{{2}}={4}{\left({x}-{1}\right)}$$
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