This calculus 3 video explains how to plot points in a 3D coordinate system. It contains a few examples and practice problems.

3D Coordinate System: https://www.youtube.com/watch?v=EzJP9uwV3ms

3D Distance Formula:

Equation of a 3D Sphere:

Calculus 3 – Intro to Vectors:

Calculus 3 – The Dot Product:

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Angle Between Two Vectors:

Parallel & Orthogonal Vectors:

Direction Cosines and Vectors:

Calculus 3 – Vector Projections:

Cross Product of 2 Vectors:

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Area – Vector Cross Product:

Triple Scalar Product:

Vector Equations of Lines:

The Equation of a Plane:

Planar Equation – 3 Points:

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When working with vectors we often implicitly use the standard basis. For example, the vector x = [2; -3] tells us the coordinates with respect to the standard basis {[1; 0], [0; 1]}.

At other times it is desirable to work with different coordinate systems that are represented by a different basis. We denote the vector x with respect to the basis B as [x]B.

In this problem we’re provided a basis B and the [x]B. We then compute the vector x, the coordinates of [x]B with respect to the standard basis.

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In this video I have explained how to find out a coordinate of a point where we know the length and bearing of that point from a known co-ordinate point.

The theoretical method i have shown here.

latitude and departure is calculated first and then it is added with the Northing and Easting value of the known point respectively.
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How to find straight line coordinate link is below

How to find Corner Coordinate by Center Point

Close triverse bearing calculations link is below

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