product

Limits: Reaching for a Goal

Limits: Reaching for a Goal 150 150 SchoolTutoring Academy

A limit can be a difficult concept to grasp in mathematics, as it is a value that is never reached, but is ‘approached’ by an input, or index of some…

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Pairs of Straight Lines: An Introduction

Pairs of Straight Lines: An Introduction 150 150 SchoolTutoring Academy

There are several formulae and equations used for the interactions of straight lines. We will explore those below: Consider the equation (ax+by+c)(px+qy+r)=0 which is of second degree equation in two…

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Operations on Polar Form of a Complex Number

Operations on Polar Form of a Complex Number 150 150 SchoolTutoring Academy

The polar form of a complex number a+ib is a+ib = r(Cos t + i Sin t), where r is its modulus and t is its argument. As we operate…

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Area and Perimeter of Polygons

Area and Perimeter of Polygons 150 150 SchoolTutoring Academy

Perimeter of polygons: The perimeter of a polygon is the sum of all sides of its sides. i.e. the perimeter is the distance around the polygon. In the following figure,…

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Algebra: How to do Vector Product (Cross Product)

Algebra: How to do Vector Product (Cross Product) 150 150 SchoolTutoring Academy

In vector product of vectors, the vector components are combined to give a vector. The vector product of two vectors is a vector which is perpendicular to both the given…

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Determinant of a Matrix

Determinant of a Matrix 150 150 SchoolTutoring Academy

Every square matrix is associated with a real number which is called the determinant of the square matrix. Let S be the set of all square matrices and R be…

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Scalar Product (Dot Product) of Vectors

Scalar Product (Dot Product) of Vectors 150 150 SchoolTutoring Academy

In scalar product of vectors, the vector components are combined to give a scalar. The scalar product of two vectors is the product of the component of one vector (in…

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Writing the Equation of Perpendicular Lines

Writing the Equation of Perpendicular Lines 150 150 SchoolTutoring Academy

Two lines are said to be perpendicular if the angle between them is 90º (90 degrees). There is a result on perpendicular line which states: Two lines are perpendicular if…

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Operations on Complex Numbers

Operations on Complex Numbers 150 150 SchoolTutoring Academy

A number which is of the form a+ib, where a and b are real numbers and i2 =-1, is called a complex number and is usually denoted by z. i.e.…

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