Archive for the tag: coordinate

Plotting Points In a Three Dimensional Coordinate System

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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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Linear Algebra – Lecture 31 – Coordinate Systems

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In this video, I review the definition of basis, and discuss the notion of coordinates of a vector relative to that basis.

The properties of a basis of a subspace guarantee that a vector in that subspace can be written as a linear combination of the basis vectors in only one way. The weights in that unique linear combination are called the coordinates of the vector relative to that basis.
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We learned about how vectors can form a basis for a vector space, and we can express any vector within a vector space as a linear combination of the basis vectors. But there can be more than one set of basis vectors. What if we want to express a vector using some other basis rather than the standard basis? Well we can implement a change of basis, so let’s learn how to do that!

Script by Howard Whittle

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Coordinate Covalent Bond

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This lecture is about coordinate covalent bond in chemistry. I will also teach you the difference between covalent bond and coordinate covalent bond. In the last part, you will learn exam question: why carbon mono-oxide form coordinate covalent bond. You will the super easy concept of coordinate covalent bond with many examples.

To learn more, watch this lecture till the end.

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In this video, we look at a special type of covalent bonding called dative covalent bonding. I explain to you what is meant by a dative covalent bond and look at the conditions required to form a dative bond. I then discuss the features of a dative covalent bond and show you two examples of molecules which contain a dative covalent bond.

This video is aimed at the UK A Level Chemistry specifications. Students studying International A Level Chemistry will need to check their specification.
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Find a Coordinate Vector

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How to find the coordinate vector given a basis and a vector.

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Linear Algebra Example Problems – Coordinate System Representation Example #1

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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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What is a Coordinate Covalent Bond?

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This chemistry video tutorial provides a basic introduction into coordinate covalent bond. Line any covalent bond, electrons are shared. However, in a coordinate covalent bond, one atom donates both electrons that contribute to the formation of the bond. A lewis acid lewis base reaction can form a coordinate covalent bond as well as metal ligand interactions.

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Coordinate Covalent Bonding (Carbon Monoxide)

Coordinate covalent bonding is a special way that elements form covalent bonds. In this video we will see how carbon monoxide forms a coordinate covalent bond.

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Coordinate System in Surveying//Concept//Theory (Calculation of Easting and Northing)

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Coordinate System in Surveying//Concept//Theory (Calculation of Easting and Northing)

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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Find the coordinate vector of x = {-2, 3, 1} with respect to the basis B = or R3

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Find the coordinate vector of x = {-2, 3, 1} with respect to the basis B = or R3

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Find the coordinate vector of x with respect to the basis B. This is a confusing question at first but should be fairly simple to evaluate.