Let p be the point (213), aud Q the point (71-4)- Using Veeters find the point on the line joining P and Q theut is ()Of the way from p to Q. W = 2i+2j-4k, Rind Ter w.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 74E
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Let p be the point (213), aud Q the point (71-4)-
Using Veeters find the point on the line joining
P and Q theut is ()Of the way from p to Q.
W = 2i+2j-4k, Rind Ter w.
Transcribed Image Text:Let p be the point (213), aud Q the point (71-4)- Using Veeters find the point on the line joining P and Q theut is ()Of the way from p to Q. W = 2i+2j-4k, Rind Ter w.
Expert Solution
Step 1

Given data:

 

 

The given first point is: P=(2,3).

The given second point is: Q=(7,-4).

 

 

The expression of both points in vector form is,

Calculus homework question answer, step 1, image 1

The expression for the direction PQ is,

Calculus homework question answer, step 1, image 2

Step 2

The expression for the point which is 3/4 away from P to Q is,

Calculus homework question answer, step 2, image 1

Substitute the given values in the above expression.

Calculus homework question answer, step 2, image 2

 

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