Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
Bartleby Related Questions Icon

Related questions

Question

Please look at the attached image as its clearer

Suppose the straight lines L1�1 and L2�2 have respective vector equations

 

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⁡�=

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-
expand button
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-
Expert Solution
Check Mark
Knowledge Booster
Background pattern image
Recommended textbooks for you
Text book image
Advanced Engineering Mathematics
Advanced Math
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Wiley, John & Sons, Incorporated
Text book image
Numerical Methods for Engineers
Advanced Math
ISBN:9780073397924
Author:Steven C. Chapra Dr., Raymond P. Canale
Publisher:McGraw-Hill Education
Text book image
Introductory Mathematics for Engineering Applicat...
Advanced Math
ISBN:9781118141809
Author:Nathan Klingbeil
Publisher:WILEY
Text book image
Mathematics For Machine Technology
Advanced Math
ISBN:9781337798310
Author:Peterson, John.
Publisher:Cengage Learning,
Text book image
Basic Technical Mathematics
Advanced Math
ISBN:9780134437705
Author:Washington
Publisher:PEARSON
Text book image
Topology
Advanced Math
ISBN:9780134689517
Author:Munkres, James R.
Publisher:Pearson,