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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →
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1,333 prompts matching "A binary operation defined on the integers"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Scalar (dot) and vector (cross) product practice #1

I am in SS 3. Give me a vector problem where a = 2i + 3j and b = 4i - j, find a . b and th

Scalar (dot) and vector (cross) product practice #2

I am in SS 3. Give me a vector problem where a = i - 2j + 3k and b = 2i + j - k, find a .

Scalar (dot) and vector (cross) product practice #3

I am in SS 3. Give me a vector problem where a = 3i - j + 2k and b = i + 2j - k, find a x

Scalar (dot) and vector (cross) product practice #4

I am in SS 3. Give me a vector problem where a = 2i + j and b = -i + 4j, find the angle be

Vectors and simple geometry proof

I am in SS 3. Give me a short vector geometry problem, such as showing that a quadrilatera

Complex number arithmetic practice #1

I am in SS 3. Give me a complex number problem where z1 = 3 + 2i and z2 = 1 - 4i, find z1

Complex number arithmetic practice #2

I am in SS 3. Give me a complex number problem where z1 = 2 - i and z2 = 4 + 3i, find z1 x

Complex number arithmetic practice #3

I am in SS 3. Give me a complex number problem where z = 5 + 2i, find z divided by (1 - i)

Explain-back: my understanding of Cramer's rule

I am in SS 3. Let me explain how Cramer's rule works in my own words for a 2x2 system, the

Spot my mistake solving a moments problem

I am in SS 3. I set up a moments equation about a pivot but I think I forgot to use a perp

Quiz me: vectors and complex numbers mixed

I am in SS 3. Quiz me with one vector magnitude question and one complex number modulus qu

Quiz me: forces and equilibrium mixed

I am in SS 3. Quiz me with one resultant-of-forces question and one moments/equilibrium qu

Teach me Cramer's rule from first principles

I am in SS 3. Teach me Cramer's rule as if I've never seen it before, starting from why de

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