Example

Section	You should be able to…	Example	Review Exercises
10.1	1 Locate points in space (p. 695)		1, 2
	2 Find the distance between two points in space (p. 696)	1	5, 24
	3 Find the equation of a sphere (p. 697)	2, 3	6, 7, 24
10.2	1 Represent vectors geometrically (p. 699)	1	27
	2 Use properties of vectors (p. 702)	2	27
10.3	1 Represent a vector algebraically (p. 703)	1	3(a)
	2 Add, subtract, and find scalar multiples of vectors (p. 705)	2, 3	8, 12, 16
	3 Find the magnitude of a vector (p. 707)	4	4, 9
	4 Find a unit vector (p. 708)	5, 6, 7	3(b), 10
	5 Find a vector in the plane from its direction and magnitude (p. 709)	8, 9	11
10.4	1 Find the dot product of two vectors (p. 715)	1	14
	2 Find the angle between two vectors (p. 716)	2, 3	17, 18, 23
	3 Determine whether two vectors are orthogonal (p. 718)	4, 5	23
	4 Find a vector in space from its magnitude and direction (p. 718)	6	13
	5 Find the projection of a vector (p. 719)	7	14
	6 Compute work (p. 727)	8, 9	15
10.5	1 Find the cross product of two vectors (p. 725)	1, 2, 3	21, 31
	2 Prove algebraic properties of the cross product (p. 734)
	3 Apply geometric properties of the cross product (p. 727)	4, 5, 6, 7	20
10.6	1 Find a vector equation of a line in space (p. 733)	1	21, 22, 25, 32
	2 Find parametric equations of a line in space (p. 734)	2	21, 22, 25, 32
	3 Find symmetric equations of a line in space (p. 734)	3, 4, 5	21, 22, 25, 32
	4 Determine whether two distinct lines are skew, parallel, or intersecting (p. 736)	6	28, 30
	5 Find an equation of a plane (p. 737)	7, 8	26, 29
	6 Determine whether two distinct planes are parallel or intersecting (p. 738)	9	25
	7 Find the distance from a point to a plane (p. 739)	10, 11	19
10.7	1 Identify quadric surfaces based on an ellipse (p. 744)	1	36, 37
	2 Identify quadric surfaces based on a hyperbola (p. 746)	2	34, 35
	3 Identify cylinders (p. 748)	3	33
	4 Graph quadric surfaces (p. 750)	4	33(c)–37(c)