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### Course: Multivariable calculus>Unit 1

Lesson 3: Visualizing scalar-valued functions

# Representing points in 3d

Learn how to represent and think about points and vectors in three-dimensional space. Created by Grant Sanderson.

## Want to join the conversation?

• What about Polar coordinates in 3D space?
• They're called cylindrical coordinates and spherical coordinates.
• Why do you use such odd vector notation? I've never seen that before, normally it's something like:

ai + bj

or

< a , b >
• xi + yj + zk, (x, y, z), [x, y, z] and [x, y, z]^T are equivalent. Mathematicians often use different notations, they are all correct.

Also: <a,b> sometimes represents a dot product, I have never seen this notation used for vectors. Are you sure you didn't mix it up?
• Is it necessary to specify the origin when mentioning a vector? otherwise it becomes ambiguous as to which particular vector does a given set of numbers represents?
• I'm pretty sure that vectors are defined with respect to the origin, leaving no room for ambiguity.
• At , how is the moon large enough to block the sun?
• How can you block the sun with one finger?
• I was hoping to find a video that explains the octants.
• How to determine the vector points from the graph?
(1 vote)
• anyone notice that he made an impossible shape?
(1 vote)
• Determine whither a relation represent a function
A=(1,4),(2,5),(3,6)(4,7),(5,8)
(1 vote)
• Which lessons should I get to learn the form of line equation like this :
``( X- X0 / a ). =  (Y -Y0 /b ). = ( Z - Zo /c)``
(1 vote)