HSC X Task 1 Flashcards

1
Q
A
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1
Q
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2
Q

the shortest distance of a point to a line is

A

the perpendicular distance from the point to the line

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3
Q
A
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4
Q

projecting a onto b

A
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5
Q

proj length is just

A

the scalar projection x the magnitude of the vector

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6
Q

how to find the unit vector in that direction?

A

divide that vector X with the (scalar) magnitude of vector X

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7
Q
A
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8
Q

The Binomial Theorem

A
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9
Q

n choose 0 is equal to

A

n choose n which is equal to 1

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10
Q

n choose 1 is equal to

A

n choose (n - 1) which is equal to n

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11
Q

n choose 2 is equal to

A

n choose (n - 2) = 0.5n(n-1)

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12
Q

some particular values for n choose r

A
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13
Q

dot product 2 diff formulas

A
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14
Q

projection of u on x
and its length

A
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15
Q

identities in pascal’s triangle

A
16
Q

prove

A
17
Q

parallel vectors…

A

are scalar multiples of each other

18
Q

collinear vectors…

A

are parallel (scalar multiples) and share a point

19
Q

perpendicular vectors

A

their dot product is 0