755 prompts matching "Writing a three-dimensional vector in i, j and k form"
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Final Revision: Deciding whether a given rule really is a binary operation
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Common Mistakes: Closure on a set of three elements under a stated rule
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Final Revision: Why closure is checked before any other property
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Final Revision: Why brackets matter when an operation is not associative
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Common Mistakes: Distributivity on a set of three elements
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Final Revision: Why distributivity links two operations rather than one
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Final Revision: Evaluating a numerical expression using the index laws
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Final Revision: Checking an indicial solution by substitution
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Final Revision: Proving a logarithmic identity from the laws
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Learn: The change of base formula
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Final Revision: Using change of base to prove a stated relation
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Quiz: The formula for the nth term of an arithmetic progression
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Final Revision: Inserting an arithmetic mean between two numbers
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Learn: The formula for the sum of the first n terms of an arithmetic progression
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Final Revision: A savings problem modelled by an arithmetic progression
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Quiz: The formula for the nth term of a geometric progression
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Final Revision: Deciding whether a given sequence is a geometric progression
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Learn: The formula for the sum of the first n terms of a geometric progression
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Final Revision: A word problem that leads to a linear inequality
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Final Revision: A word problem that leads to a quadratic inequality
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