   Chapter 11.5, Problem 1E

Chapter
Section
Textbook Problem

# Checking Points on a Line In Exercises 5 and 6, determine whether each point lies on the line. x = − 2 + t , y = 3 t , z = 4 + t (a) ( 0 , 6 , 6 ) (b) ( 2 , 3 , 5 ) (c) ( − 4 , − 6 , 2 )

(a)

To determine
For theline x=2+t,y=3t and z=4+t,

Find if the point (0,6,6) lies on it.

Explanation

Given:

The parametric equations of the line are:

x=2+t,y=3t

and z=4+t

The provided point is, (0,6,6).

Explanation:

Parametric equations of theline:

x=2+t,y=3t

and

z=4+t

As we know point is, (0,6,6)

Let us replace the values of x,y and z with abovepointin the given equations

(b)

To determine
For theline x=2+t,y=3t and z=4+t

Find if the point (2,3,5) lies on it.

(c)

To determine
For theline x=2+t,y=3t and z=4+t.

Find if the point (4,6,2) lies on it.

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