i think i have got it. when we dot the 2 vctors, they give a Zero answer. this means that they are perpendicular to each other. now, they must be the radius of the circle. so the length of the 2 vectors are equal.
so we end up with a= +_ root 12.
ok, tell me if this makes sense:
x= 2 cost + a Sin t
y= a Cos t + Sin t
z = 3 Cos t - a Sin t
then do we have 2 vectors? cost < 2,a,3 > and Sin t < a, 1,-a>...not sure if this can be done. I've never used Cos and Sin as scalar...
Homework Statement
2.2) Prove or disprove that there is a value of a for which the image of the following vector function is a circle:
r(t) = < 2cos t + a sin t, a cos t + sin t, 3 cos t - a sin t >.
any help will be appreciated