
3D Coordinates
Presentation
•
Mathematics
•
•
Easy
Solomon Abalaka
Used 3+ times
FREE Resource
7 Slides • 9 Questions
1
Functions with multivariable components (3+ Variables)
Finland
2
3-Dimensional Graphs are commonly called Solid Analytic Geometry. This is created by taking your normal x- and y-axis and adding the z-axis to them, thus creating a 3-dimensional system. 3-Dimensional points are referred to as being in SPACE!
3
One of the key things we need to be able to do is to find the Distance between points, and since these points are 3-Dimensional, we need to Modify our Distance Formula to match...
4
5
Just like the Distance Formula, we need to re-work our Midpoint Formula to work with 3 Variables. Thankfully, this doesn't create a formula too difficult to work with...
6
7
Multiple Choice
What would be the midpoint between (0, 2, -5) and (3, 4, -2)?
(3/2, 2, 3/2)
(3/2, 3, -7/2)
(-3/2, -3, -3/2)
8
Multiple Choice
What would be the midpoint between (10, -2, 7) and (4, 6, 15)?
(11, 2, 7)
(7, 2, 11)
(3, 4, 4)
9
Same as old Distance Formula, just another parenthesis section with z's under the Square Root
10
Multiple Choice
What would be the distance between (2, 4, 5) and (1, 10, -6)? [rounded to 3 decimal places]
-9.876
16.547
10.453
12.570
11
Multiple Choice
What would be the distance between (0, 11, 3.5) and (-2, -5, 7.4)? [rounded to 3 decimal places]
10.112
18.956
16.589
14.324
12
Multiple Choice
Vector a = 2i + 3j - 5k. What is the value of 3a?
3i + 3j - 3k
5i + 6j - 8k
6i + 9j -15k
6i + 6j - 15k
13
Multiple Choice
14
Multiple Choice
15
Multiple Choice
16
Multiple Choice
Identify the coordinates of the blue dot...
(2,2,2)
(1,1,1)
(1,2,2)
(2,1,2)
Functions with multivariable components (3+ Variables)
Finland
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