Analytical Geom. in 3-dim: plot pts, vector magnitude, dir.

[asimon2005]

In Exercises 3-6, plot each point in the same three-dimensional coordinate system. I don't understand this. I'm going to see my teacher tomorrow before class Here it is.

3. (a) (2,1,3) and (b) (-1,2,1)
4. (a) (3,0,0) and (b) (-3, -2, -1)
5. (a) (3, -1, 0) and (b) (-4,2,2)
6. (a) (0,4,-3) and (b) (4,0,4)

8. The point is located six units in front of the yz-plane, one unit to the left of the xz-plane, and one unit below the xy-plane. Find the coordinates.

10. The point is located in the yz-plane, two units to the right of the xz-plane, and eight units above the xy-plane. Find the coordinates.

77. Find magnitude and direction angle of vector v = 3i - 3j
78. Find magnitude and direction angle of vector v = -i + 2j
79. Find magnitude and direction angle of vector v = 4i + 5j
80. Find magnitude and direction angle of vector v = 10I - 7j

81. Find the dot product of u = (-4, 1) and v = (3, 5)
82. Find the dot product of u = (-1, 0) and v = (-2, -6)

 

[Denis]

Re: Analytic Geometry in Three Dimensions

Once you "catch on", you'll see how easy this is...BUT it's almost impossible to teach/show here; try:
http://www.google.ca/search?q=picture+o ... hl=en&sa=2

You'll see that a z-axis is used (+ means above, - means below) ; so origin is (0,0,0).