Year 1 Pure Flashcards
How to find the angle between two vectors?
What is associativity?
An operation is associative if a + (b+c) = (a+b) + c, where + is the operation.
What makes an operation commutative?
An operation is commutative if it can be carried out in any order.
What is the relationship between the roots and coefficients of a cubic?
How to prove by induction?
- Prove that the result is true for n=1
- Prove that if true for n=k, true for n=k+1
- Conclude with statement
What is an invariant line?
A line in which any point on the line is mapped to another point (or the same point) on the line by the transformation.
What is an invariant point?
An invariant point is a point that is mapped to itself by the transformation.
What is a linear transformation?
A transformation that can be represented by a matrix.
What is a locus?
A locus is the set of locations that a point can occupy when constrained by a given rule. The plural of locus is loci.
What is the relationship between the roots and coefficients of a quadratic equation?
What is the relationship between the roots and coefficients of a quartic?
How to represent a rotation as a matrix?
