Planes in Three Dimensions

Plane forms Point direction form: \( a(x-x_1) + b(y-y_1) + c(z-z_1) = 0 \) where \(P(x_1, y_1, z_1)\) lies in the plane, and the direction (a,b,c) is normal to the plane. General form: \( Ax + By + Cz + D = 0 \) where direction (A,B,C) is normal to the plane. Intercept form: \( \frac{x}{a} + \frac{y}{b} + […]

How to Learn Algebra in Easy Steps

Algebra can be difficult for many people, but algebra is not anything more that an extension of the basic arithmetic that you use every day. If you learn some basic rules you will learn the other complicated rules. This is how you will solve your algebraic problems. Things you’ll need Paper Pencil Eraser Learning algebra […]

Algebra 1 Tips

Algebra 1 can be difficult for many students but we have tips that can simple formulas and make solving algebra problems much easier. If someone want to apply this, he must learn it. Order of Operations The most important rule in algebra is Order of Operations. If you do operations in right order, you will […]

Lines in Three Dimensions

Line forms Point direction form: \( \frac{x-x_1}{a} = \frac{y – y_1}{b} = \frac{z-z_1}{c} \) Two point form: \( \frac{x-x_1}{x_2-x_1} = \frac{y – y_1}{y_2-y_1} = \frac{z-z_1}{z_2-z_1} \) Parametric form: \( \begin{aligned} x &= x_1 +t\,\cos \alpha \\ y &= y_1 +t\,\cos \beta \\ z &= z_1 +t\,\cos \gamma \end{aligned} \) Distance between two lines in 3 dimensions The […]

Integrated Algebra For Beginners

Integrated algebra introduces us with the basic concepts of trigonometry and calculus. It is generally made up of variables, expressions, operations and equations. Variables Variables can help the students to make references to numbers that are unknown. For instance x or y. Variables are always used in expressions. Expressions Expressions are set of the symbols […]

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