Consider the vector n = cost – i sint, wheret > 0. This is a normal to a certain curve N. Then, find all answers that are not true, if they exist. n = cos t -i sin t, is a unit normal vector. -(sint + i cos t), is not orthogonal to n = cost - i sin t V = dn is parallel to n u = sint + i cos t, is the unit tangent vector to the curve n
Consider the vector n = cost – i sint, wheret > 0. This is a normal to a certain curve N. Then, find all answers that are not true, if they exist. n = cos t -i sin t, is a unit normal vector. -(sint + i cos t), is not orthogonal to n = cost - i sin t V = dn is parallel to n u = sint + i cos t, is the unit tangent vector to the curve n
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Transcribed Image Text:Consider the vector n = cos t - i sin t, where t 0. This is a normal to a certain curve N.
Then, find all answers that are not true, if they exist.
n = cost- i sin t, is a unit normal vector.
cost - isint
v = -(sint + i cos t), is not orthogonal to n
is parallel to n
dt
u = sin t + i cos t, is the unit tangent vector to the curve N
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