   Chapter 11.5, Problem 18E

Chapter
Section
Textbook Problem

# Finding Parametric EquationsIn Exercises 17–24, find a set of parametric equations of the line with the given characteristics.The line passes through the point ( − 1 , 4 , − 3 ) and is parallel to v = 5 i − j .

To determine

To calculate: Fid the parametric equations of the line passing through the point (1,4,3) and parallel to the vector v=5ij.

Explanation

Given:

The line passes through the point (1,4,3) and parallel to the vector v=5ij.

Formula used:

Parametric equations of a line are:

x=x1+at,y=y1+bt and z=z1+ct

Calculation:

The, component form of the given vector is v=5,1,0

Now as there is no k in the standard form of vector v.

Further to find a set of parametric equations of the line,

Coordinates x1=1,y1=4 and z1=3

Point is (1,4,3) and

Direction numbers a=5,b=1 and c=0

Parallel vector is v=5,1,0

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