
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Please look at the attached image as its clearer
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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