10) Suppose the straight lines 4₁ and L₂ have respective vector equations: " = (-1) + € (-₁) and 1₂ P= ( x, y, z) - where t and Sare scalar parameters coso = letter S Ax a) Given that 4 and L2 intersect at point P, find point P ?黎 9 8 + $-5 -5 2 acute b) Find the exact value of the cusine of the angle O, between 4₁ and 4₂ c) Given points A ($9, -4,4) and B (4,3,0), find distance AP and |BP|

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question
10)
Suppose the straight lines L and L₂ have
2
respective vector equations:
r₁
find point p
P=
-4 (-₁
where t and S are scalar parameters
a) Given that 4 and L2 intersect at point p
4₁ and 4₂
letter S
Ayx
and √₂ = 8 + S
(3) +
=(x, y, ²%
Z
coso = ? *
21
5
-5
2
-
acute
b) Find the exact value of the cosine of the angle O, between
o
-
c) Given points A ($9, -4,4) and B (4,3,0), find
distance |AP| and [BPL.
вр
Transcribed Image Text:10) Suppose the straight lines L and L₂ have 2 respective vector equations: r₁ find point p P= -4 (-₁ where t and S are scalar parameters a) Given that 4 and L2 intersect at point p 4₁ and 4₂ letter S Ayx and √₂ = 8 + S (3) + =(x, y, ²% Z coso = ? * 21 5 -5 2 - acute b) Find the exact value of the cosine of the angle O, between o - c) Given points A ($9, -4,4) and B (4,3,0), find distance |AP| and [BPL. вр
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