Deck 10: Analytic Geometry in Three Dimensions

Question 1

Answer 1

A

Question 2

Answer 2

A

Question 3

Answer 3

A

Question 4

Question 5

Question 6

Determine whether the planes are parallel, orthogonal, or neither.

A) parallel
B) orthogonal
C) neither

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18

Question 19

Question 20

Question 21

Question 22

Find a set of parametric equations for the line that passes through the given points.
Show all your work.
(9,8, -2) ,(-3, -6,4)

Question 23

Question 24

Question 25

Question 26

Question 27

Question 28

Find the lengths of the sides of the right triangle whose vertices are located at the given
points. Show that these lengths satisfy the Pythagorean Theorem. Show all of your
work.
()8, -4,4 ,(9,5,3),(-3,6,0)

Question 29

Question 30

Question 31

Question 32

Question 33

Question 34

Question 35

Find symmetric equations for the line through the point and parallel to the specified line.
Show all your work.

Question 36

Question 37

D

Question 38

Question 39

Question 40

)

Question 41

Question 42

Question 43

Question 44

Question 45

Question 46

Question 47

Question 48

Question 49

Question 50

Question 51

Find a set of parametric equations for the line that passes through the given points.
Show all your work.

Question 52

Question 53

Question 54

Question 55

Question 56

Question 57

Question 58

Question 59

Question 60

Question 61

Question 62

Question 63

Question 64

Question 65

Question 66

Question 67

Question 68

Question 69

Find symmetric equations for the line through the point and parallel to the specified line.
Show all your work.

Question 70

Question 71

A) parallel
B) orthogonal
C) neither

Question 72

Question 73

Question 74

Question 75

Question 76

Question 77

Question 78

Question 79

Question 80