A curve traces the intersection point of two lines. The first
line is flat, starts at...
A curve traces the intersection point of two lines. The first
line is flat, starts at height 1, and moves down with constant
speed. The second line is through the origin, starts off vertical,
and rotates at a constant angular speed. Both lines reach the
x-axis at the same time.
a. Find an equation for the curve tracing the
intersection.
b. Use L’Hopital’s rule to find the intersection point of the
curve with the x-axis.
Find the point of intersection of the two lines l1:x⃗
=〈8,6,−16〉+t〈−1,−5,−1〉l1:x→=〈8,6,−16〉+t〈−1,−5,−1〉 and l2:x⃗
=〈21,1,−43〉+t〈3,1,−5〉l2:x→=〈21,1,−43〉+t〈3,1,−5〉
Intersection point:
Find the point of intersection of the two lines l1:x⃗
=〈8,6,−16〉+t〈−1,−5,−1〉l1:x→=〈8,6,−16〉+t〈−1,−5,−1〉 and l2:x⃗
=〈21,1,−43〉+t〈3,1,−5〉l2:x→=〈21,1,−43〉+t〈3,1,−5〉
Intersection point: