1,045 prompts matching "The dot product of a vector with itself"
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Teach me Writing out Pascal's triangle row by row
You are my SS2 Further Mathematics tutor. Teach me writing out Pascal's triangle row by ro
Worked example: expanding (x+y)^4 using Pascal's triangle
Act as my SS2 Further Maths tutor. Show me a full worked example of expanding (x+y)^4 usin
Teach me approximating powers using binomial expansion
Act as my SS2 Further Maths tutor. Teach me how to use the binomial expansion to evaluate
Worked example: evaluating a power using binomial expansion
Act as my SS2 Further Maths tutor. Show me a full worked example of using the binomial exp
Quiz me on finding specific terms in expansions
Act as my SS2 Further Maths tutor. Quiz me with three binomial expansions and ask me to fi
Spot my mistake finding a specific term
Act as my SS2 Further Maths tutor. I tried to find the term containing x^3 in a binomial e
Worked example: rationalising a binomial surd denominator
Act as my SS2 Further Maths tutor. Show me a complete worked example of rationalising the
Quiz me on simplifying surds
Act as my SS2 Further Maths tutor. Quiz me with five surd expressions to simplify, and che
Give me practice solving logarithmic equations
Act as my SS2 Further Maths tutor. Give me six practice logarithmic equations to solve, at
Explain logarithm laws back to me
Act as my SS2 Further Maths tutor. I'll explain the laws of logarithms in my own words, an
Worked example: finding where a line meets a circle
Act as my SS2 Further Maths tutor. Show me a full worked example of finding where a straig
Spot my mistake finding a line's equation
Act as my SS2 Further Maths tutor. I found the equation of a straight line through two poi
Explain coordinate geometry back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words how to find the equation o
Worked example: proving a trigonometric identity
Act as my SS2 Further Maths tutor. Show me a full worked example of proving a trigonometri
Teach me solving trigonometric equations
Act as my SS2 Further Maths tutor. Teach me how to solve a trigonometric equation such as
Worked example: solving a quadratic trigonometric equation
Act as my SS2 Further Maths tutor. Show me a full worked example of solving a trigonometri
Quiz me on trigonometric identities
Act as my SS2 Further Maths tutor. Quiz me with four trigonometric identities that I must
Give me practice solving trigonometric equations
Act as my SS2 Further Maths tutor. Give me six practice trigonometric equations to solve w
Worked example: finding a term in an arithmetic progression
Act as my SS2 Further Maths tutor. Show me a full worked example of finding a specific ter
Give me practice on sequences and series
Act as my SS2 Further Maths tutor. Give me eight practice questions on arithmetic and geom