# How do you write a vector equation and a parametric equation for each line: the line through A(-1,2,1) and B(1,2,1)?

Vector equation

Parametric equation

r(t) =

The vector equation of a line involves a point on the line and the vector direction of the line.

we get a line with vector equation

To parametrically define this line we now take each component (x,y,z) or (i,j,k) individually

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Vector equation: ( \mathbf{r} = \mathbf{a} + t(\mathbf{b} - \mathbf{a}) )

Parametric equations:

[ x = -1 + t(1 - (-1)) ]

[ y = 2 + t(2 - 2) ]

[ z = 1 + t(1 - 1) ]

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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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