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(a) Find the components of the vector with the initial point P₁ = (4,1, -2) and the terminal point P₂ = (6, 1,-6). (b) Find a unit vector with the same direction as the vector u = = (7,4, -3).

(a) Find the components of the vector with the initial point P₁ = (4,1, -2) and the terminal point P₂ = (6, 1,-6). (b) Find a unit vector with the same direction as the vector u = = (7,4, -3).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(a) Find the components of the vector with the initial point P₁ = (4,1, -2) and the terminal point P2 = (6, 1,-6). (b) Find a unit vector with the same direction as the vector u = (7,4, -3).
Transcribed Image Text:(a) Find the components of the vector with the initial point P₁ = (4,1, -2) and the terminal point P2 = (6, 1,-6). (b) Find a unit vector with the same direction as the vector u = (7,4, -3).
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A vector is written as ai+bj+ck or (a,b,c).

The vector components obtained from the initial point x1,y1,z1 and terminal point x2,y2,z2 is 

v=x2-x1,y2-y1,z2-z1

 

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 Find a unit vector with the same direction as the vector u = (7, 4, −3)

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