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Now showing items 11-20 of 35

#### MathsCasts: Two Dimensional Vectors

(Swinburne Commons, 2012)

How to represent a two dimensional vector in terms of the basis unit vectors ; i and j , by decomposing the vector into its horizontal and vertical components.

#### MathsCasts: The Cross Product of Vectors: Part 2

(Swinburne Commons, 2012)

This video shows an outline of formula for finding the cross product of two 3D vectors which are written in terms of i, j and k, and a worked example of finding the cross product of two 3D vectors which are written in terms ...

#### MathsCasts: Three Dimensional Vector

(Swinburne Commons, 2012)

This video explains representing a three dimensional vector in three dimensional space using the x,y and z axes, and writing a three dimensional vector in terms of the perpendicular unit vectors; i, j and k.

#### MathsCasts: Vectors: Equal Vectors

(Swinburne Commons, 2012)

This video gives the conditions necessary for vectors to be considered equal. Briefly touches on negative vector also.

#### MathsCasts: Vectors: Example of Expressing the Addition/Subtraction of Vectors as a Single Vector

(Swinburne Commons, 2012)

In this video, a worked example shows how to use the triangle law, the definition of equal vectors and the definition of negative vectors to express the addition and subtraction of two or more vectors as a single vector.

#### MathsCasts: Quadratic Inequalities: Example 2

(Swinburne Commons, 2012)

This video demonstrates a worked example of solving an inequality statement with a denominator, and also gives an explanation of why to multiply both sides of inequality by denominator squared given.

#### MathsCasts: Properties of the Dot Product of Vectors: Part 2

(Swinburne Commons, 2012)

This video explains how to verify the distributive property of the dot product.

#### MathsCasts: Properties of the Dot Product of Vectors: Part 1

(Swinburne Commons, 2012)

This video demonstrates proof of some basic properties of the dot product.(i) Dot product of perpendicular vectors,(ii) Dot product of parallel vectors, (iii) Dot product of a vector with itself, and (iv) Commutative ...

#### MathsCasts: Proof: The Vector ab is Equal to the Vector b Minus the Vector a

(Swinburne Commons, 2012)

The video demonstrates proof of vector ab = vector b minus vector a explained.

#### MathsCasts: Combined Inequalities: Introduction and Example 2

(Swinburne Commons, 2012)

Worked example of forming and solving a combined inequality statement from a given word statement. Term 'conjunction' explained and solutions checked.