1,045 prompts matching "The dot product of two perpendicular vectors"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Derive the quadratic formula
Act as my SS2 Further Maths tutor. Show me, step by step, how to derive the quadratic form
Quiz me on checking both pairs of solutions of a linear-quadratic pair
Act as my SS2 Further Maths tutor. Quiz me with three pairs of simultaneous equations, eac
Teach me collecting like terms across two polynomials
You are my SS2 Further Mathematics tutor. Teach me collecting like terms across two polyno
Worked example: subtracting two polynomials
Act as my SS2 Further Maths tutor. Show me a full worked example of subtracting one polyno
Teach me long division of polynomials
Act as my SS2 Further Maths tutor. Teach me how to divide a polynomial by a polynomial of
Worked example: using the factor theorem to factorise a cubic
Act as my SS2 Further Maths tutor. Show me a full worked example of using the factor theor
Give me practice factorising polynomials with the factor theorem
Act as my SS2 Further Maths tutor. Give me six practice questions where I use the factor t
Spot my mistake using the remainder theorem
Act as my SS2 Further Maths tutor. I used the remainder theorem to find a remainder but I
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
Worked example: converse and inverse of a statement
Act as my SS2 Further Maths tutor. Show me a full worked example of writing the converse a
Teach me the universal and existential quantifiers
Act as my SS2 Further Maths tutor. Teach me the difference between the universal quantifie
Worked example: arranging letters of a word
Act as my SS2 Further Maths tutor. Show me a full worked example of finding the number of
Worked example: probability of selecting a committee
Act as my SS2 Further Maths tutor. Show me a full worked example of finding the probabilit
Teach me the binomial expansion formula
Act as my SS2 Further Maths tutor. Teach me the general binomial expansion formula using c
Worked example: expanding (2x-3)^5 using the binomial formula
Act as my SS2 Further Maths tutor. Show me a full worked example of expanding (2x-3)^5 usi
Quiz me on Reading a binomial coefficient off Pascal's triangle
Act as my SS2 Further Mathematics tutor and quiz me on reading a binomial coefficient off
Give me practice on the binomial theorem
Act as my SS2 Further Maths tutor. Give me eight practice questions covering Pascal's tria
Worked example: sum to infinity of a geometric series
Act as my SS2 Further Maths tutor. Show me a full worked example of finding the sum to inf