1,044 prompts matching "A vector of magnitude one in three dimensions"
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Divide a polynomial by a quadratic
Act as my SS2 Further Maths tutor. Show me a worked example of dividing a polynomial of de
Teach me what a proposition is
Act as my SS2 Further Maths tutor. Teach me the difference between a simple proposition an
Teach me the truth table for negation
Act as my SS2 Further Maths tutor. Teach me how to construct the truth table for negation
Teach me the truth table for conjunction
Act as my SS2 Further Maths tutor. Teach me how to construct the truth table for conjuncti
Teach me the truth table for disjunction
Act as my SS2 Further Maths tutor. Teach me how to construct the truth table for disjuncti
Quiz me on why negation reverses every truth value
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Quiz me on the why p implies q is true when p is false
Act as my SS2 Further Mathematics tutor and quiz me on why p implies q is true when p is f
Worked example: truth table for a compound statement
Act as my SS2 Further Maths tutor. Show me a full worked example of constructing the truth
Teach me logically equivalent propositions
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Quiz me on biconditional statements
Act as my SS2 Further Maths tutor. Quiz me with four pairs of propositions and ask me each
Give me practice on logical equivalence
Act as my SS2 Further Maths tutor. Give me five pairs of compound propositions and ask me
Teach me what a tautology is
Act as my SS2 Further Maths tutor. Teach me what a tautology is in propositional logic, gi
Quiz me on argument validity
Act as my SS2 Further Maths tutor. Quiz me with three logical arguments, each with two pre
Teach me predicate logic basics
Act as my SS2 Further Maths tutor. Teach me the basics of predicate logic, including what
Teach me the universal and existential quantifiers
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Worked example: cyclic permutation around a table
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Teach me arithmetic progressions
Act as my SS2 Further Maths tutor. Teach me the formulas for the nth term and the sum of t
Teach me geometric progressions
Act as my SS2 Further Maths tutor. Teach me the formulas for the nth term and the sum of t
Quiz me on arithmetic and geometric progressions
Act as my SS2 Further Maths tutor. Quiz me with five questions mixing arithmetic and geome
Teach me what a complex number is
Act as my SS2 Further Maths tutor. Teach me what a complex number is, including the meanin