755 prompts matching "Converting the vector equation of a line into Cartesian form"
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Final Revision: Simplifying a fraction whose numerator and denominator are both surds
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Worked Example: Rationalising a denominator that is a single surd
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Final Revision: Checking a conjugate answer by multiplying back
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Learn: What a binary operation actually is
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Common Mistakes: A binary operation that is ordinary addition in disguise
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Learn: What closure means for a binary operation
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Learn: What it means for an operation to be commutative
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Worked Example: Testing a*b against b*a for a given rule
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Final Revision: Why brackets matter when an operation is not associative
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Learn: What an identity element is
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Worked Example: Rewriting a negative index as a fraction
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Common Mistakes: Writing a root as a fractional index before simplifying
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Final Revision: Checking an indicial solution by substitution
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Worked Example: Writing an index statement as a logarithm
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Common Mistakes: Reading a logarithm from a table
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Common Mistakes: Rejecting a root that makes a logarithm undefined
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Learn: What a sequence is, and what a term means
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Learn: What makes a sequence an arithmetic progression
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Common Mistakes: An arithmetic progression with a negative common difference
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Final Revision: Inserting an arithmetic mean between two numbers
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