The following question is divided into 3 parts each testing a different skill. A

Question

The following question is divided into 3 parts each testing a different skill.

A) Find points P,Q which are closest possible with

P lying on the line x=?1?2t y=3?3t z=?2+t and

Q lying on the line x=23?t y=?15?6t z=25?t

P = (_____,____,_____) Q = (_____,____,_____)

B) If the parametric equations of a curve C are

x=3sin(7t)?2 y=3cos(7t)+3 z=3t+3 the parametric equations of the tangent line to this curve at t=0 are x=_________+________t

y=_________+________t

z=_________+________t

C) The parametric curve r=(?2t^2 +8t?3, 3cos(pit), t^3?37t) crosses itself at one and only one point. The point is (xyz)= (_____,____,____).
Let be the acute angle between the two tangent lines to the curve at the crossing point.

Then cos(theta)=

Explanation / Answer

please repost the question as i dont get the meaning of ? in each part.

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