Question regarding vector calculus

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anitotino
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I have a question regarding vector calculus


A particle P, Whose position vector is r=ti-(t+1)j+t^2k, moves along a curve. Draw curve "C" on -5<t<5 and write the:
a) Parametric vector equation & symmetric equations of the tangent to the curve at (1,-2,1).
b)Find all vector of t for which P is moving perpendicular to & parallel to vector A=3i+j-k
c)What is the component of the vector A along the direction of the motion when t=2.


thanks
 
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