1,327 prompts matching "Real-life application of the condition for a line to be tangent to a curve"
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Practice: The magnitude of the sum of two vectors
Act as my SS3 Further Mathematics tutor. Give me five practice questions on the magnitude
WAEC Prep: Using a unit vector to write a force of given size
Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through using a unit vecto
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
Spot My Mistake: The vector from A to B as the difference of two position vectors
Act as my SS3 Further Mathematics tutor. Work a question on the vector from A to B as the
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
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Practice: The dot product as the magnitudes times the cosine of the angle
Act as my SS3 Further Mathematics tutor. Give me five practice questions on the dot produc
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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WAEC Prep: The conjugate of a complex number, and how it is written
Act as my SS3 Further Mathematics examiner. Set me an exam-standard question on the conjug
Quiz: The product of a complex number and its conjugate
Act as my SS3 Further Mathematics tutor and quiz me on the product of a complex number and
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
Quiz: The argument of a complex number
Act as my SS3 Further Mathematics tutor and quiz me on the argument of a complex number. A
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
Learn: The cube roots of unity
You are my personal SS3 Further Mathematics tutor. Teach me the cube roots of unity, worki
Quiz: The roots of a complex number shown on an Argand diagram
Act as my SS3 Further Mathematics tutor and quiz me on the roots of a complex number shown