Binomail Expansion + Vectors Flashcards
“In any order”
“In any order “
What is the formula for the number of combinations- without repeats?
What is the formula for the number of combinations- without repeats?
What is the formula for probability of getting r out of n outcomes with a probability P?
What is 0!
1
Draw the next expansion of (a+b) from pascalls Triangle
One power is ascending from 0
The other power is descending from the original power
Why is only using the first 4 ascending powers of x a good estimate?
Because x <1, the x becomes increasingly small with the increasing power and so becomes more and more negligible
How is a vector represented ?
What is magnitude direction form aka polar form?
How can a vector be represented in term of i and j (vector form) ?
Convert the vector form (4,2) into polar form
What is the modulus |a| ?
The magnitude of a vector
Convert the vector into component form
Why does it mean when two vectors have the same magnitude and direction?
They are parallel and are the same vectors
What does it mean when vectors have the same magnitude but opposite direction?
What does the vector 0 respresnt
No movement
What is a scalar/normal number ?
Changes the magnitude
Negative scalars can change direction aswell
How can vectors be shown to be parallel?
Writing them as a multiple of each other
What is the magnitude of a (|a|)?
a= (x,y)
What is a unit vector?
Magnitude of unit vector = 1
What is the unit vector (a^) of (3,5)?
What is a position vector?
The translation from the origin
What is the scalar of the vector (4,3)?
Vector question