1. Let 1:1 2 (1.0,11ando2 = (ﬂ, 2, 1) What is the dotproduct ofol and 1:2 '1' What

is the cross product of the vectors 1:1 and tag. Write the equation of the plane

which contains the prigin as well as the vectors 1:1 and 1:2. 2. Write a the equation of a curve 11—13) which traces the a circle of radius r centered

at [I], t]. 1) on the plane 2 = 1. Use an arc length integral to ﬁnd the circumfrance of the circle (in terms of r). 3. Let ﬁt} 2 (215. t3, —t3] calculate the tangential and normal components of the

acceleration as a function of t. 4. Let Hm. y, a) = a: + y + a is f continuous at 12-91.»err point '1' prove your answer

using the deﬁnition of a limit. 5. Let f[:c.y,z} : fawn“: calculate the partial derivatives f3, f1” f5. 6. let ﬂm, 1.9.9:} : Em + ya calculate the gradient of f at the point (1, 11 2} and

calculate the directional drivative of f at the same point along the direction at =

(o, 2, —1}.