1,315 prompts matching "Rationalising and then simplifying fully"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Worked Example: The distance between two points in three dimensions
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the di
Learn: The magnitude of a three-dimensional vector
You are my personal SS3 Further Mathematics tutor. Teach me the magnitude of a three-dimen
Quiz: The direction of a vector as an angle with the x-axis
Act as my SS3 Further Mathematics tutor and quiz me on the direction of a vector as an ang
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
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
Worked Example: Testing two vectors for perpendicularity
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on testin
Quiz: The vector equation of the line through two given points
Act as my SS3 Further Mathematics tutor and quiz me on the vector equation of the line thr
Explain Back: The resultant of forces given as vectors
I have just studied the resultant of forces given as vectors in my SS3 Further Mathematics
Quiz: Subtracting one complex number from another
Act as my SS3 Further Mathematics tutor and quiz me on subtracting one complex number from
Worked Example: Squaring a complex number
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on squari
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
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
Quiz: Writing a complex number in polar form
Act as my SS3 Further Mathematics tutor and quiz me on writing a complex number in polar f
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
Explain Back: Forming a quadratic equation with given complex roots
I have just studied forming a quadratic equation with given complex roots in my SS3 Furthe
Explain Back: Differentiating one over x from first principles
I have just studied differentiating one over x from first principles in my SS3 Further Mat