Suppose the straight lines L₁ and L₂ have respective vector equations 4 9 -5 -3 +t ()+() 8 s -5 3 2 where s and t are scalar parameters. 11 = 5 b) and 72 = 2 a) Given that L₁ and L₂ intersect at some point P, find its coordinates. P = ( ) Find the exact value of the cosine of the acute angle A between I and I
Suppose the straight lines L₁ and L₂ have respective vector equations 4 9 -5 -3 +t ()+() 8 s -5 3 2 where s and t are scalar parameters. 11 = 5 b) and 72 = 2 a) Given that L₁ and L₂ intersect at some point P, find its coordinates. P = ( ) Find the exact value of the cosine of the acute angle A between I and I
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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Suppose the straight lines L1�1 and L2�2 have respective
r1=⎛⎝⎜4−33⎞⎠⎟+t⎛⎝⎜5−11⎞⎠⎟andr2=⎛⎝⎜98−2⎞⎠⎟+s⎛⎝⎜−5−52⎞⎠⎟,�1=(4−33)+�(5−11)and�2=(98−2)+�(−5−52),
where s� and t� are scalar parameters.
a)
Given that L1�1 and L2�2 intersect at some point P�, find its coordinates.
P=�=(,,)
b)
Find the exact value of the cosine of the acute angle θ�, between L1�1 and L2�2.
cosθ=cos�=
Transcribed Image Text:Suppose the straight lines L₁ and L₂ have respective vector equations
4
-3 +t
3
where s and t are scalar parameters.
11 =
5
and
cos
9
72 = 8 + s
-5
-5
2
2
a)
Given that L₁ and L₂ intersect at some point P, find its coordinates.
P = (
)
b)
Find the exact value of the cosine of the acute angle 0, between L₁ and L2-
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