At what point do the curves r₁(t) = (t, 2 − t, 15 + t²) and r₂(s) = (5 – s, s − 3, s²) intersect? (x, y, z) = Find their angle of intersection, 0, correct to the nearest degree. 0 = O
At what point do the curves r₁(t) = (t, 2 − t, 15 + t²) and r₂(s) = (5 – s, s − 3, s²) intersect? (x, y, z) = Find their angle of intersection, 0, correct to the nearest degree. 0 = O
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
r1(t) = t, 2 − t, 15 + t2 and r2(s) = 5 − s, s − 3, s2
At what point do the curves intersect?
(x, y, z) =
Find their angle of intersection, ?, correct to the nearest degree.
? =
Expert Solution
Step 1
Given curves:
To find:
a) The point of intersection of both the curves.
b) Angle between them.
Angle between the direction vectors :
Here, denotes the dot product of the two vectors.
It is defined as , where and .
and .
Step by step
Solved in 6 steps
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