Aline passes through the point (3 comma 1 comma negative 8 ), and is parallel to the vector 5 bold i plus 3 bold j plus 3 bold k. find the standard parametric equations for the line, written using the components of the given vector and the coordinates of the given point.

The parametric equations of the line are given by:

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A line passing through the point and being parallel to a vector ai + bj + ck has parametric equations given by:

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Thus

A similar problem is given at link

The line passing through (3, 1, -8) and running parallel to the vector <5, 3, 3> has the vector equation

or

and from this we can extract a set of parametric equations for the line:

where .

the answer would be 1 1/72

step-by-step explanation:

you can rewrite the equation by separating the parts and then solving individually:

10-9=1

1/8 - 1/9=

find l c d and then combine:

1 1/72