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Using cosine rule a.b = |a||b|cos(theta) and the example vectors a = (1,2,3) and b = (3,2,1),First explain why the cosine rule exists, use a geometric proof of the cosine rule. Show the magintude of a=b=r...

A Born-Haber cycle shows how one mole of an ionic lattice is formed from its elements in their standard states and their standard conditions. You start with the elements in their standard states, and at e...

Firstly, liberals take an optimistic view of human nature in relation to the state. It is a school of thought which advocates peaceful co-operation and 'soft' forms of power rather than military resources...

For example show that x + 3 is a factor of p(x) = x³ - 5x² - 8x + 48

We need to show that when x = -3, p(x) = 0. If this is the case then x + 3 is a factor of p(x)

putt...

When one is faced with a problem requiring derivation of an equation, they might be asked to use dimensional analysis. This is a concept that involves analyzing the units of known ...