FALL 2008 โ MA 227- 7B โ TEST 1
Name:
1. Part I
There are 6 problems in Part 1, each worth 4 points. Place your answer on the line to the
right of the question. Only your answer on the answer line will be graded.
(1) Find the cross product of the vectors h2,2,1iand h1,0,1i.
(2) Find the dot product of the vectors h2,โ2,4iand h2,1,โ1i.
(3) Find the vector equation that represents the curve of intersection of the cylinder
x2+z2= 1 and the plane y= 2.
(4) Find the length of the arc with vector equation r(t) = hcos t, sin tifrom the point
(1,0) to the point (โ1,0).
(5) Find a vector function representing the line (a parametrization of the line) passing
through the points P(0,0,0) and Q(0,3,2).
(6) Find an equation of the plane with normal i+j+kwhich contains the point P(0,0,0).
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