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First, we need to recall 2 basic definitions of vector operations: The dot product is defined on vectors u =[u 1 , u 2 ,...u n ] and v =[v 1 , v 2 ,..., v n ] as u . v = u 1 v 1 +u 2 v 2 +...+u n v n The len...

Suppose you have a quadratic equation: x 2 + 5x + 6 You are told it has TWO REAL ROOTS and you are to find them. The factorised quadratic with two roots will look like this: (x+ a )(x+ b ) Where a and b are ...

University applications are daunting and you want to ensure you have put your best foot forward. However, ensuring you are likeable is also important. The best way to do this is to focus your application aro...

An adverb ( adverbio in Spanish) is a word that modifies the meaning of verbs, adjectives or other words. E.g. "The girl smiled nervous ly" - the word "nervously" describes how she smiled...

To solve the equation: (5x+3)/(x) + x = 1, where (x) is the denominator, we have to convert the equation into an equation without any denominators. To do this, we multiply each variable by (x), so the equati...