det pC-1,2,-1) and Q(2,-7,8) be two points in three dimenonal space. Use vectors to fird the points on the line segment from P to Q that divides the segment into three eg nol parts.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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det PC-1, 2, -1) and Q(2,-7,8) be
two points in three dimengonel
space. Use vectors to fird the
points on the line segment from
P to Q that divides the segment
into three eq ual parts.
Transcribed Image Text:det PC-1, 2, -1) and Q(2,-7,8) be two points in three dimengonel space. Use vectors to fird the points on the line segment from P to Q that divides the segment into three eq ual parts.
Expert Solution
Step 1

Vector form of a point:

Let (a, b, c) are any point in 3D- space. Then this point can be expressed as vector form as follows:

(a, b, c)=a(i)+b(j)+c(k)

The aim is to find the points that divides the points P and Q into three equal parts.

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