All bold symbols represent vectors. Remember to express the result as a function of t alone. Let T , N , and B be the unit tangent, normal, and binormal respectively. A particle moves in the xy-plane in such a manner that the derivative of the position vector is always perpendicular to the position vector. Show that the particle moves on a circle with center at the origin.
All bold symbols represent vectors.
You must give a reason for your answer. Suppose h has a constant value of 4 in., but r varies. Two surfaces are said to be orthogonal at a point of intersection if their normal lines are perpendicular at that point. Use the method of Lagrange multipliers to find a vector in 3-space whose length is 5 and whose components have the largest possible sum. Find the total differential dz.