Suppose the straight lines L₁ and L2 have respective vector equations --0-0---0-0 (9) and where s and t are scalar parameters. 4 -3 + t 3 = 9 -2 + -5 -5 2 a) Given that L₁ and L2 intersect at some point P, find its coordinates. P = ( )

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
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b) 

Find the exact value of the cosine of the acute angle θ, between L1 and L2.

cosθ=

 

 

Suppose the straight lines L₁ and L₂ have respective vector equations
4
5
9
-5
-- () - () --- ()-(C)-
= -3
+ t
and
=
+ s
-5
3
1
-2
2
where s and t are scalar parameters.
"
a)
Given that L₁ and L2 intersect at some point P, find its coordinates.
P =(
)
Transcribed Image Text:Suppose the straight lines L₁ and L₂ have respective vector equations 4 5 9 -5 -- () - () --- ()-(C)- = -3 + t and = + s -5 3 1 -2 2 where s and t are scalar parameters. " a) Given that L₁ and L2 intersect at some point P, find its coordinates. P =( )
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