1. Find the vector parametric equations for the line in the direction of the vec
ID: 2847766 • Letter: 1
Question
1. Find the vector parametric equations for the line in the direction of the vector -2i-3j+2k and through the point (-4,5,-5)
2. What is the interval of the parametric equation for the arc of a circle of radius 3 from P =(0,0) to Q = (6,0)?
3.A plane directly above Denver, Colorado, (altitude 1650 meters) flies to Bismark, North Dakota (altitude 550 meters). It travels at 675 km/hour along a horizontal line at 9000 meters above the line joining Denver and Bismark. Bismark is about 850 km in the direction 60^{circ} north of east from Denver. Find parametric equations describing the plane's motion. Assume the origin is at sea level beneath Denver, that the x-axis points east and the y-axis points north, and that the earth is flat. Measure distances in kilometers and time in hours.
Explanation / Answer
1.L(t)= P+tv, where P=-4i+5j-5k and v=-2i-3j+2k
= -4i+5j-5k+t(-2i-3j+2k)
2.a circle of radius 3, centered at 0,0 is (3cos t, 3sin t) t goes from 0 to 2pi.
its center is (3,0) from the two points (0,0) and (3,0). Now
The circle is parametrized as (3 +3cos t, 3 sin t) t from 0 to 2pi.
3.
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