# MA113 HELL

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v\|v|

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## Description and Tags

### 27 Terms

1

v\|v|

unit vector in direction of v (T)

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2

θ=cos⁻¹(u.v\|u||v|)

Finding angle using dot product

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3

u.v = 0

u and v are orthogonal

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4

uxv = 0

u and v are parallel

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5

rxF

Torque Formula

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6

d = |PSxv|\|v|

Distance from a line to a point

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7

|v| (physics)

speed

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8

(v₀ cosα)ti + ((v₀sinα)t - .5gt²)j

Ideal projectile motion equation

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9

(v₀sinα)²\2g

Maximum height

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10

(2v₀sinα)\g

time taken

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11

(v₀²sin2α)\g

range

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12

∫√(x’²+y’²+z’²)dt

Arc length formula

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13

κ = |dT\dt|\|v|

curvature formula

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14

N = (dT\dt)\|dT\dt|

normal vector formula

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15

|v|\dt

TNB “At”

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16

κ|v

TND “An”

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17

δf\δxi + δf\δyj

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18

∨f.u

Directional Derivative at a point in the direction of u

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19

fxx<0 and fxxfyy-fxy²>0

local maximum

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20

fxx>0 and fxxfyy-fxy²>0

local min

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21

fxxfyy-fxy²<0

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22

1/area of R∫∫dA

Average value of f over R

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23

∫∫r dr dθ

polar form

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24

∫∫∫ x δ dV

Myz

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25

∫∫∫ y δ dV

Mxz

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26

∫∫∫ z δ dV

Mxy

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27

∫∫∫δ dV

Mass

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