755 prompts matching "find the unit vector in the direction of (6,8)"
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Final Revision: Simplifying a fraction whose numerator and denominator are both surds
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Show All Working: Checking a rationalised answer by decimal approximation
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Final Revision: Checking a conjugate answer by multiplying back
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Learn: Solving an equation with a single square root term
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Final Revision: A word problem that leads to an equation in surd form
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Learn: What a binary operation actually is
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Show All Working: Evaluating a repeated operation such as a*(b*c)
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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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Show All Working: Showing a set is not closed by a single counter-example
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Common Mistakes: Closure on a set of three elements under a stated rule
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Show All Working: An operation that is associative but not commutative
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Final Revision: Why brackets matter when an operation is not associative
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Learn: What it means for one operation to distribute over another
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Show All Working: Using distributivity to simplify an expression
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Common Mistakes: Distributivity on a set of three elements
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Show All Working: An element with no inverse under a given operation
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Show All Working: Simplifying an expression with letters and indices
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Learn: Why any non-zero number to the power nought is one
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Common Mistakes: Writing a root as a fractional index before simplifying
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