910 prompts matching "vectors and complex numbers mixed"
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Worked example: find the angle between the vectors (1,2) and (3,-1) using the dot product
Act as my SS2 Further Maths tutor. Show me a full worked example for this vectors problem:
Worked example: write the converse, inverse and contrapositive of 'if a number is even, then it is divisible by 2'
Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo
Practice: A cubic with one real root and two complex ones
Act as my SS2 Further Mathematics tutor. Give me five practice questions on a cubic with o
IGCSE Additional Maths Y11: Equal vectors, and parallel vectors — IGCSE Exam Practice
I am a Year 11 pupil taking Cambridge IGCSE Additional Mathematics. Set me a past-paper-st
Worked example: find the modulus and argument of 3+4i
Act as my SS2 Further Maths tutor. Show me a full worked example for this complex numbers
Spot my mistake with sum and product of roots
Act as my SS2 Further Maths tutor. I calculated the sum and product of the roots of 2x^2-5
Teach me the number of arrangements of n distinct objects
You are my SS2 Further Mathematics tutor. Teach me the number of arrangements of n distinc
Give me practice on permutations and combinations
Act as my SS2 Further Maths tutor. Give me ten mixed practice questions on permutations an
Explain arithmetic and geometric progressions back to me
Act as my SS2 Further Maths tutor. I'll explain the difference between an arithmetic progr
Worked example: solving a quadratic with complex roots
Act as my SS2 Further Maths tutor. Show me a full worked example of solving a quadratic eq
Teach me what a vector is
Act as my SS2 Further Maths tutor. Teach me the difference between a vector and a scalar,
Teach me the dot product of two vectors
Act as my SS2 Further Maths tutor. Teach me how to calculate the dot product of two vector
Quiz me on vector operations
Act as my SS2 Further Maths tutor. Quiz me with four questions on adding, subtracting, and
Give me practice on vectors
Act as my SS2 Further Maths tutor. Give me six practice questions on vector addition, magn
Spot my mistake finding a vector's magnitude
Act as my SS2 Further Maths tutor. I calculated the magnitude of a vector but I think I ma
Explain vectors back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words how to add vectors and fin
Worked example: standard deviation of a small data set
Act as my SS2 Further Maths tutor. Show me a full worked example of calculating the varian
Summarise vectors for quick revision
Act as my SS2 Further Maths tutor. Give me a concise summary of the key formulas and metho
Test me under exam conditions on vectors
Act as my SS2 Further Maths tutor. Set me a timed, exam-style set of three questions on ve
Give me a full mixed revision test
Act as my SS2 Further Maths tutor. Give me a mixed revision test of ten short questions co