# How do you find the parametric equations of line through the origin and parallel to the line determined by x = 2t, y = 1 - t, z = 4 + 3t?

The line is:

And so has direction vector:

The line through the Origin with this direction can be written as:

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The parametric equations of the line through the origin and parallel to the line determined by (x = 2t), (y = 1 - t), and (z = 4 + 3t) are:

[x = 2s] [y = 1 - s] [z = 4 + 3s]

where (s) is a parameter.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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