1,045 prompts matching "Writing a three-dimensional vector in i, j and k form"
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Use the quadratic formula on 3x^2 + 5x + 1 = 0
Act as my SS2 Further Maths tutor. Show me step by step how to solve 3x^2 + 5x + 1 = 0 usi
Use the quadratic formula on x^2 - 2x - 2 = 0
Act as my SS2 Further Maths tutor. Show me step by step how to solve x^2 - 2x - 2 = 0 usin
Use the quadratic formula on 4x^2 - 4x - 3 = 0
Act as my SS2 Further Maths tutor. Show me step by step how to solve 4x^2 - 4x - 3 = 0 usi
Use the quadratic formula on x^2 + x - 1 = 0
Act as my SS2 Further Maths tutor. Show me step by step how to solve x^2 + x - 1 = 0 using
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
Spot my mistake finding a tangent condition
Act as my SS2 Further Maths tutor. I substituted my line into the curve equation to find w
Worked example: adding two polynomials
Act as my SS2 Further Maths tutor. Show me a full worked example of adding two polynomials
Teach me combinations
Act as my SS2 Further Maths tutor. Teach me what a combination is and how it differs from
Spot my mistake in a permutation problem
Act as my SS2 Further Maths tutor. I solved a permutation word problem but I think I used
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
Explain the binomial theorem back to me
Act as my SS2 Further Maths tutor. I'll explain the binomial expansion formula and how to
Teach me changing the base of a logarithm
Act as my SS2 Further Maths tutor. Teach me the change of base formula for logarithms and
Quiz me on coordinate geometry basics
Act as my SS2 Further Maths tutor. Quiz me with five coordinate geometry questions coverin
Spot my mistake in a geometric progression
Act as my SS2 Further Maths tutor. I calculated the sum of the first eight terms of a geom
Explain complex numbers back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words what a complex number is a
Worked example: solving simultaneous equations using matrices
Act as my SS2 Further Maths tutor. Show me a full worked example of solving a pair of simu
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