Dot ProductScalar or Dot product(1) Scalar or Dot product of two vectors: If a and b are two non-zero vectors and θ be the angle between them, then their scalar product (or dot product) is denoted by a.b and is defined as the scalar |a||b| cos θ , where…

Factors And Coefficients Of A PolynomialFactor:  When numbers (constants) and variables are multiplied to form a term, then each quantity multiplied is called a factor of the term. A constant factor is called a numerical factor while a variable factor i…

What is a Rational Number?A rational number is a number which can be put in the form \(\frac { p }{ q }\), where p and q are both integers and q ≠ 0. p is called numerator (Nr) and q is called denominator (Dr). You can also go through https://www.aplust…

Common FactorsWhen two integers are multiplied together, the answer is called a product. The integers that were multiplied together are called the factors of the product. 3 • 6 = 18 (3 and 6 are factors of 18)The greatest common factor of two (or more) i…

Logarithmic ExpressionsA logarithm is an exponent. In the example shown above, 3 is the exponent to which the base 2 must be raised to create the answer of 8, or \(2^3\) = = 8. In this example, 8 is called the anitlogarithm base 2 of 3. Read also:How do…

What Are The Different Types Of AnglesAngle: Two rays with a common end point form an angle. OA, OB are rays & O is end point.Types of Angles In geometry, angles can be classified according to the size (or magnitude) of the angle. Right angle: An ang…

Pythagoras TheoremTheorem 1: In a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. Given: A right-angled triangle ABC in which B = ∠90º. To Prove: (Hypotenuse)2 = (Base)2 + (Perpendicular)2. …

Rationalizing Denominators with Radicalshttps://www.youtube.com/watch?v=50yhn6c8g84 Situation 1 – Monomial DenominatorWhen the denominator is a monomial (one term), multiply both the numerator and the denominator by whatever makes the denominator an exp…

Perimeter and CircumferencePerimeter is the word used to describe the distance around the outside of a figure. To find the perimeter, add together the lengths of all of the sides of the figure. Refresh your polygon memories:When working with perimeter, …

Percent of Increase, Decrease, Discount There are many situations that involve increasing or decreasing an amount by a certain percent. Check out the following examples:Example 1. You normally work at the mall over the spring break for $450. This year t…