Please solve the attached applied linear algebra question as soon as possible. G=> Let Li be the line passing through the pointPi=(-1,-2,-3) with disection vector di f-l,;3,21,->and Let Lo be the line passing through thePoint P2 = (-12,18,-3) with dlidection vectos%3D2,-5,92.Find the shortest alistance d blw thesetwo lines,and finel a point G1 on L1and apoint G2 onon L2 so thatd(Q,Q2)=d. Use the sqjuareroot%3Dsymbol ?' whereneeded te give anexactvalue foo youranswe.d%= 7@;= (?,?,,?)Q(?,?,?)2= Hint to solve theThe shortest distance between these lines is along a straight line perpendicular to both lines. Since the two lines are not parallel, there is a unique solution for Q, and Q2.To find Q, and Q, first find a vector n that is perpendicluar to both lines (usiing the cross product or by setting up a system of two equations using the dot product). You can then set up asystem of equations to find values a, b, c so that Pz+ad,+bn+cdz=P2 Use these values to find the desired points and distance.

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Answered: Let Li be the line passing through the…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Please solve the attached applied linear algebra question as soon as possible.

G=> Let Li be the line passing through the point
Pi=(-1,-2,-3) with disection vector di f-l,;3,21,
->
and Let Lo be the line passing through the
Point P2 = (-12,18,-3) with dlidection vectos
%3D
2,-5,9
2.
Find the shortest alistance d blw these
two lines,
and finel a point G1 on L1
and a
point G2 on
on L2 so that
d(Q,Q2)=d. Use the sqjuareroot
%3D
symbol ?' where
needed te give an
exact
value foo your
answe.
d%= 7
@;= (?,?,,?)
Q
(?,?,?)
2=

Hint to solve the
The shortest distance between these lines is along a straight line perpendicular to both lines. Since the two lines are not parallel, there is a unique solution for Q, and Q2.
To find Q, and Q, first find a vector n that is perpendicluar to both lines (usiing the cross product or by setting up a system of two equations using the dot product). You can then set up a
system of equations to find values a, b, c so that Pz+ad,+bn+cdz=P2 Use these values to find the desired points and distance.

Branch of mathematics concerned with mathematical structures that are closed under operations like addition and scalar multiplication. It is the study of linear combinations, vector spaces, lines and planes, and some mappings that are used to perform linear transformations. Linear algebra also includes vectors, matrices, and linear functions. It has many applications from mathematical physics to modern algebra and coding theory.

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