Let r(t) = (t² + 9)i + e ^t j + e ^t k. Find N(t) for t = 0. Approximate your calculations to three decimal places. A) 0 B) i C) 0.577j - 0.577k D) i + 0.577j + 0.577k E) 1.732i - 1.732j - 1.732k

Question

Quizplus · Accepted Answer

The unit normal vector N(t) is perpendicular to the tangent vector T(t). At t = 0, the tangent vector T(0) is calculated, and then the normal vector is found. The correct approximation is 0.577j - 0.577k.

Let R(t) = (T2 + 9)i + E t J

Let R(t) = (T² + 9)i + E ^t J