1,045 prompts matching "Treating the dot product of two vectors as another vector"
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Teach me what a proposition is
Act as my SS2 Further Maths tutor. Teach me the difference between a simple proposition an
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
Spot my mistake in a truth table
Act as my SS2 Further Maths tutor. I constructed a truth table for a compound statement bu
Teach me converse and inverse propositions
Act as my SS2 Further Maths tutor. Teach me how to form the converse and the inverse of a
Quiz me on converse and inverse
Act as my SS2 Further Maths tutor. Quiz me by giving me four conditional statements and as
Give me practice on converse and inverse propositions
Act as my SS2 Further Maths tutor. Give me six conditional statements and ask me to form a
Spot my mistake forming a converse
Act as my SS2 Further Maths tutor. I tried to form the converse of a conditional statement
Explain converse and inverse back to me
Act as my SS2 Further Maths tutor. I'll explain the difference between the converse and th
Teach me logically equivalent propositions
Act as my SS2 Further Maths tutor. Teach me how to determine whether two compound proposit
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
Worked example: proving a statement is a tautology
Act as my SS2 Further Maths tutor. Show me a full worked example of using a truth table to
Teach me what a logical argument is
Act as my SS2 Further Maths tutor. Teach me what a logical argument is in propositional lo
Worked example: testing an argument for validity
Act as my SS2 Further Maths tutor. Show me a full worked example of testing a simple logic
Quiz me on argument validity
Act as my SS2 Further Maths tutor. Quiz me with three logical arguments, each with two pre
Spot my mistake testing an argument
Act as my SS2 Further Maths tutor. I tested a logical argument for validity using a truth
Explain argument validity back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words how to test whether a logi
Worked example: applying predicate logic to solve a problem
Act as my SS2 Further Maths tutor. Show me a worked example of applying predicate logical
Worked example: choosing a committee
Act as my SS2 Further Maths tutor. Show me a full worked example of using combinations to