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(d) 4 x 0 (e) We can t say, because the notation ( 4,0] is meaningless 17 The direction of a standard-form vector in Cartesian xyz space can be uniquely defined by (a) the angle that the vector subtends with respect to the positive x axis (b) the angle that the vector subtends with respect to the positive y axis (c) the angle that the vector subtends with respect to the positive z axis (d) the sum of the angles that the vector subtends with respect to the positive x, y, and z axes (e) None of the above 18 In Cartesian xyz space, the point (2,3,4) is (a) 3 units from the origin (b) 9 units from the origin (c) 241/2 units from the origin (d) 291/2 units from the origin (e) 24 units from the origin 19 The Cartesian negative of a vector in xyz space (a) points in the same direction as the original vector (b) has the same magnitude as the original vector (c) has the same direction angles as the original vector (d) always has negative coordinates (e) always has coordinates whose absolute values are negative

But y must be incremented before the next calculation can be made:

20 The radian is an angle whose measure is precisely equivalent to (a) p /2 of a full circle (b) 2/p of a full circle (c) 4/p of a full circle (d) 1/(2p) of a full circle (e) 3p /2 of a full circle 21 When we multiply a vector in two-space by a positive scalar k+, the magnitude (a) changes by a factor of k+, while the direction angle stays the same (b) changes by a factor of k+, while the direction angle reverses (c) stays the same, but the direction angle changes by a factor of k+ (d) stays the same, but the direction angle becomes k+ radians larger (e) and direction angle both change by a factor of k+ 22 Suppose we see the ordered pair (5p /2, 2) as the representation for a point in the polar coordinate plane If we want to keep the direction angle nonnegative but less than 2p, and if we want to keep the radius nonnegative, we should rewrite this ordered pair as (a) (3p /2,2) (b) (p /2,2) (c) (2p /5,2) (d) (2p /5,1/2) (e) (p /2,1/2) 23 In Cartesian xyz space, the distance between the points ( 1, 2, 3) and (3,2,1) is (a) 6 units (b) 8 units (c) 9 units (d) 12 units (e) None of the above 24 In Cartesian two-space, a line segment connecting the points ( 3,10) and (5,16) is exactly (a) 1451/2 units long (b) 10 units long (c) 971/2 units long (d) 9 units long (e) 791/2 units long 25 What are the polar coordinates of the point plotted in Fig FE-3 (a) (3p /4,501/2) (b) (5p /4, 501/2) (c) (7p /4,501/2)

If you are taking an introductory course in project management, or you have managed three or fewer projects, I suggest you read this book in order through Parts One and Two, and learn the tools, Part Three, as you need them. Particularly, if you are doing a project for class, or at work, or in your own time use the tools and templates in this book to plan the project well and keep it on track.

Figure FE-3

(d) (5p /2, 501/2) (e) None of the above 26 Imagine a polar complex vector p, as follows: p = (q,r) = (3p /4,721/2) What complex number does this vector represent (a) 6 + j 6 (b) 6 + j 6 (c) 6 j 6 (d) 6 j 6 (e) More than one of the above 27 What s the ordered pair representing the standard form of a vector in the Cartesian xy plane whose originating point is ( 2, 2) and whose ending point is (3,3) (a) (5,5) (b) ( 5, 5) (c) (1,1) (d) ( 1, 1) (e) (1/2,1/2)