Binomial Expansion + Vectors

Question 1

Answer 1

Question 2

“In any order”

Answer 2

Question 3

“In any order “

Answer 3

Question 4

Answer 4

Question 5

What is the formula for the number of combinations- without repeats?

Answer 5

Question 6

What is the formula for the number of combinations- without repeats?

Answer 6

Question 7

What is the formula for probability of getting r out of n outcomes with a probability P?

Answer 7

Question 8

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Question 9

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Question 10

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Question 11

What is 0!

Answer 11

1

Question 12

Draw the next expansion of (a+b) from pascalls Triangle

Answer 12

One power is ascending from 0
The other power is descending from the original power

Question 13

Answer 13

Question 14

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Question 15

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Question 16

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Question 17

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Question 18

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Question 19

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Question 20

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Question 21

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Question 22

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Question 23

Why is only using the first 4 ascending powers of x a good estimate?

Answer 23

Because x <1, the x becomes increasingly small with the increasing power and so becomes more and more negligible

Question 24

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Question 25

Answer 25

Question 26

How is a vector represented ?

Answer 26

Question 27

What is magnitude direction form aka polar form?

Answer 27

Question 28

How can a vector be represented in term of i and j (vector form) ?

Answer 28

Question 29

Convert the vector form (4,2) into polar form

Answer 29

Question 30

What is the modulus |a| ?

Answer 30

The magnitude of a vector

Question 31

Convert the vector into component form

Answer 31

Question 32

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Question 33

Answer 33

Question 34

Why does it mean when two vectors have the same magnitude and direction?

Answer 34

They are parallel and are the same vectors

Question 35

What does it mean when vectors have the same magnitude but opposite direction?

Answer 35

Question 36

What does the vector 0 respresnt

Answer 36

No movement

Question 37

What is a scalar/normal number ?

Answer 37

Changes the magnitude Negative scalars can change direction aswell

Question 38

How can vectors be shown to be parallel?

Answer 38

Writing them as a multiple of each other

Question 39

Answer 39

Question 40

What is the magnitude of a (|a|)? a= (x,y)

Answer 40

Question 41

What is a unit vector?

Answer 41

Magnitude of unit vector = 1

Question 42

What is the unit vector (a^) of (3,5)?

Answer 42

Question 43

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Question 44

What is a position vector?

Answer 44

The translation from the origin

Question 45

Answer 45

Question 46

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Question 47

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Question 48

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Question 49

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Question 50

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Question 51

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Question 52

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Question 53

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Question 54

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Question 55

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Question 56

What is the scalar of the vector (4,3)?

Answer 56

Question 57

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Question 58

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Question 59

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Question 60

Vector question

Answer 60