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To do this, we will only consider the direction vectors of each line. That is to say, the vector 'attached' to our λ and μ terms (which are called scalar parameters).We will do this because the angle betw...

Use the number of marks as a guide - if the paper is worth 80 marks and you're given 1.5 hours, I'd allocate 1 minute per mark which would give you 10 minutes (or more if you're quick) to check over your ...

As we appreciate the rule 1: gradient of line PQ multiplied by the gradient of the line perpendicular to it equals -1. Formula: m x mn=-1We use this to find the gradient of line PQ:Firstly, we find the gr...

We use the factor theorem which states that (2x+1) is a factor of p(x) if and only if the root of (2x+1)=0 is also a root of p(x). The root of 2x+1=0 is x = -1/2 (-1 from both sides and then divide both s...

Notice that 36 is a square number equivalent to 6² . Can also tell this as the expression contains no coefficients of h so they must cancel each other out. Using this information we can deduce ...