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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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1,323 prompts matching "Writing the answers as ordered pairs"

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

Learn: The magnitude of a three-dimensional vector

You are my personal SS3 Further Mathematics tutor. Teach me the magnitude of a three-dimen

Practice: The magnitude of the sum of two vectors

Act as my SS3 Further Mathematics tutor. Give me five practice questions on the magnitude

Worked Example: Finding the unit vector in the direction of a given vector

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on findin

Learn: The unit vectors i, j and k

You are my personal SS3 Further Mathematics tutor. Teach me the unit vectors i, j and k, w

Worked Example: The position vector of the midpoint of AB

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the po

Worked Example: The triangle law of vector addition

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the tr

Learn: Subtracting one vector from another

You are my personal SS3 Further Mathematics tutor. Teach me subtracting one vector from an

Explain Back: The dot product of two perpendicular vectors

I have just studied the dot product of two perpendicular vectors in my SS3 Further Mathema

Learn: The angle between a vector and one of the axes

You are my personal SS3 Further Mathematics tutor. Teach me the angle between a vector and

Practice: Deciding whether a point lies on a given line

Act as my SS3 Further Mathematics tutor. Give me five practice questions on deciding wheth

Worked Example: The powers of i, and the cycle they follow

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Learn: The real and the imaginary parts of a complex number

You are my personal SS3 Further Mathematics tutor. Teach me the real and the imaginary par

Practice: The sum of a complex number and its conjugate

Act as my SS3 Further Mathematics tutor. Give me five practice questions on the sum of a c

Practice: The argument of a complex number in the second or third quadrant

Act as my SS3 Further Mathematics tutor. Give me five practice questions on the argument o

Practice: The addition of complex numbers shown on an Argand diagram

Act as my SS3 Further Mathematics tutor. Give me five practice questions on the addition o

Explain Back: The locus of a complex number at a fixed distance from a point

I have just studied the locus of a complex number at a fixed distance from a point in my S

Explain Back: Raising a complex number to a power by de Moivre's theorem

I have just studied raising a complex number to a power by de Moivre's theorem in my SS3 F

Learn: The cube roots of unity

You are my personal SS3 Further Mathematics tutor. Teach me the cube roots of unity, worki

Worked Example: The quotient rule for differentiation

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the qu

Learn: Choosing between the product rule and the quotient rule

You are my personal SS3 Further Mathematics tutor. Teach me choosing between the product r

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