10.1 The Three-Dimensional Coordinate System
10.2 Vectors in Space
10.3 The Cross Product of Two Vectors
10.4 Lines and Planes in Space
Random
100
This point is located 3 units behind the yz-plane, 3 units to the right of the xz-plane, and 4 units above the xy-plane.
What is the point (-3, 3, 4)?
100
u = <-1, 3, 2>, v = <1, -2, -2>, z = u - 2v. What is z?
z = <-3, 7, 6>
100
The cross product of <3, -2, 5> x <0, -1, 1>
What is <3, -3, -3>?
100
This is the general form of the equation of a plane passing through the point (2, 1, 2) and perpendicular to n=i
What is x - 2 = 0?
100

The class that is taught by Mrs. McNelis

What is Pre Calculus? (Our any high school math:)

200

Mrs. McNelis has how many children?

What is 3?

300
This is the midpoint of the line segment joining (-2, 8, 10) and (7, -4, 2)
What is (2.5, 2, 6)?
300
This is the dot product of 2i -5j + 3k and 9i + 3j - k
What is 0?
300
This is the area of a parellelogram with adjacent sides <2, 2, -3> and <0, 2, 3>
What is 14?
300
This is the angle (in degrees) between the planes 3x - 4y + 5z = 6 and x + y - z = 2
What is 60.7 degrees?
300

Mrs. McNelis's favorite class?

What is Pre Calculus?

400

You are lost and alone in the woods. You stumble across an old cabin, and decide to stay there for the night. You want some heat and light, but the only things you find in the cabin are a candle, an oil lamp and a wood burning stove. You look in your pocket but you only have one match left. What do you light first?

The match

500
This is the standard form of the equation of a sphere with (3, 0, 0) and (0, 0, 6) as endpoints of a diameter.
What is (x - 3/2)^2 + y^2 + (z - 3)^2 = 45/4?
500
These are the values of c such that ||cu|| = 3, where u = i + 2j + 3k
What are 3sqrt(14) / 14 and -3sqrt(14)/14?
500
This is the volume of the parellelepiped with the vertices A(0, 0, 0), B(4, 0, 0), C(4, -2, 3), D(0, -2, 3), E(4, 5, 3), F(0, 5, 3), G(0, 3, 6), H(4, 3, 6).
What is 84?
500
This is the distance between the point (4, -2, -2) and the plane 2x - y + z = 4
What is 2sqrt(6)/3?
500

There are 5 ships in a port: 1. The Greek ship leaves at six and carries coffee. 2. The Ship in the middle has a black chimney. 3. The English ship leaves at nine. 4. The French ship with blue chimney is to the left of a ship that carries coffee. 5. To the right of the ship carrying cocoa is a ship going to Marseille. 6. The Brazilian ship is heading for Manila. 7. Next to the ship carrying rice is a ship with a green chimney. 8. A ship going to Genoa leaves at five. 9. The Spanish ship leaves at seven and is to the right of the ship going to Marseille. 10. The ship with a red chimney goes to Hamburg. 11. Next to the ship leaving at seven is a ship with a white chimney. 12. The ship on the border carries corn. 13. The ship with a black chimney leaves at eight. 14. The ship carrying corn is anchored next to the ship carrying rice. 15. The ship to Hamburg leaves at six. Which ship goes to Port Said?

The Spanish ship

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