QUESTION 3 Li and L2 are two lines in three-dimensional vector space with parametric equations given as below: L, : x = 5+ 2t, y = 4 + 3t, z = -3+ ßt L2: x =-2+10s, y=2- 2s,z=3+ 2s a) Determine the value of B if L1 and L2 intersect. Then, locate the intersection point. b) Find the angle between L1 and L2 using the value of B in (a). Hence, determine the Cartesian equation of plane given L2 lies on the plane.

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question 3
QUESTION 3
Li and L2 are two lines in three-dimensional vector space with parametric equations given
as below:
L, : x = 5+2t , y = 4 + 3t, z = -3+ ßt
L2: x =-2+10s, y=2– 2s,z=3+2s
a)
Determine the value of ß if L1 and L2 intersect. Then, locate the intersection point.
b)
Find the angle between L1 and L2 using the value of B in (a). Hence, determine the
Cartesian equation of plane given L2 lies on the plane.
Transcribed Image Text:QUESTION 3 Li and L2 are two lines in three-dimensional vector space with parametric equations given as below: L, : x = 5+2t , y = 4 + 3t, z = -3+ ßt L2: x =-2+10s, y=2– 2s,z=3+2s a) Determine the value of ß if L1 and L2 intersect. Then, locate the intersection point. b) Find the angle between L1 and L2 using the value of B in (a). Hence, determine the Cartesian equation of plane given L2 lies on the plane.
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