whoisthis88
New member
- Joined
- Sep 21, 2014
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- 1
You are given a function r(t) = 3cos((2-t)pi)i+3sin((2-t)pi)j+(4(2-t)pi)k t E [0,2]
a. Find the unit tangent vector and the unit normal vectors at the point of r(2)
b. Parameterize the tangent and normal line at r(2)
c. Reverse the direction of r(t)
d. Parameterize r(t) by arc length
for A I think I got the right answer. I got -.6j-.8k for the first part and i for the second part, but I am not sure if I did it correctly. I think T(t) = r^prime(t)/||r^prime(t)|| and N(t) =T[FONT=Helvetica Neue, Helvetica, Arial, san-serif]^prime(t)/||T^prime(t)||. But I am not sure whether I simplified everything correctly. I have been having trouble with things related to geometry/trigonometry since high school, and this assignment combines that with the new vector topics we are learning, so I am lost on what to do. Any help would be greatly appreciated.[/FONT]
a. Find the unit tangent vector and the unit normal vectors at the point of r(2)
b. Parameterize the tangent and normal line at r(2)
c. Reverse the direction of r(t)
d. Parameterize r(t) by arc length
for A I think I got the right answer. I got -.6j-.8k for the first part and i for the second part, but I am not sure if I did it correctly. I think T(t) = r^prime(t)/||r^prime(t)|| and N(t) =T[FONT=Helvetica Neue, Helvetica, Arial, san-serif]^prime(t)/||T^prime(t)||. But I am not sure whether I simplified everything correctly. I have been having trouble with things related to geometry/trigonometry since high school, and this assignment combines that with the new vector topics we are learning, so I am lost on what to do. Any help would be greatly appreciated.[/FONT]