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A unit tangent vector at t=2 on the curv...

A unit tangent vector at t=2 on the curve `x=t^(2)+2, y=4t-5` and `z=2t^(2)-6t` is

A

`+-(1)/(sqrt(3))(i+bar(j)+bar(k))`

B

`+-(1)/(2804)(2i+bar(j)-bar(k))`

C

`+-(1)/(sqrt(580))(2i+24bar(j)+bar(k))`

D

`+-(1)/(sqrt(581))(2i+24bar(j)+bar(k))`

Text Solution

Verified by Experts

The correct Answer is:
D
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