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Babynini
 one year ago
Vectors.
Babynini
 one year ago
Vectors.

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Babynini
 one year ago
Best ResponseYou've already chosen the best response.1ganeshie it's kind of the same thing we just did except for without angles given.

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.4draw both the velocity vectors break them into component form and simply add them up

Babynini
 one year ago
Best ResponseYou've already chosen the best response.1dw:1433310949412:dw

Babynini
 one year ago
Best ResponseYou've already chosen the best response.1wait, I forgot the component form.

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.4dw:1433311043791:dw

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.4Nope, you need to add the respective components

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.4x components : 5+0 = 5 y components : 0+24 = 24 so the resultant velocity vector with reference to water is 5i+24j

Babynini
 one year ago
Best ResponseYou've already chosen the best response.1haha right. sorry. So now how do we change that to decimal numbers? (note how the first question wants to be answered)

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.4simply take magnitude of the resultant velocity vector for speed

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.4speed = \(\5i+24j\=\sqrt{(5)^2+24^2}=?\)

Babynini
 one year ago
Best ResponseYou've already chosen the best response.1\[\sqrt{601}\] =24.52

Babynini
 one year ago
Best ResponseYou've already chosen the best response.1fabulous. part next? :)

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.4work the angle for any vector \(xi+yj\) the angle with the positive x axis is given by \(\tan^{1}(y/x)\)

Babynini
 one year ago
Best ResponseYou've already chosen the best response.1so since the five is negative..do i carry the negative with it?

Babynini
 one year ago
Best ResponseYou've already chosen the best response.1how did you get there?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.4you got angle = \(78.23\) right, it is negative

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.4in which quadrant does the angle \(78.23\) lies in ?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.4yes, but the resultant vector lies in 2nd quadrant : dw:1433312298520:dw

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.4so you need to add 180 to the angle given by your calculator : \[78.23+180=?\]

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.4Yes thats the angle from positive x axis : dw:1433312428785:dw

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.4but the question is asking for the angle from N : dw:1433312468055:dw

Babynini
 one year ago
Best ResponseYou've already chosen the best response.1so that  90 which comes out to 11.77

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.4thats it! with \(\tan^{1}\) function you always need to check if 180 degrees needs to be added based on the quadrant of the actual point

Babynini
 one year ago
Best ResponseYou've already chosen the best response.1so if it's negative then always yes add 180 yeah? :P

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.4tell me this in which quadrant does the point (1, 1) lie in ?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.4so would you trust me if i say the angle is 45 with positive x axis ?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.4try working the angles using arctan(y/x) formula for below points : (1, 1) (1, 1) (1, 1) (1, 1)

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.4do they make sense ?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.4look at the last point and last angle : (1, 1) 45 how can a point in III rd quadrant make an angle 45 ?

Babynini
 one year ago
Best ResponseYou've already chosen the best response.1these are good questions to think about :o

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.4it doesn't make sense, so you need to add 180 to 45 : 45+180 = 225 so the angle made by vector (1, 1) is 225 and not 45 ok

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.4\(\tan^{1}(y/x)\) formula gives you correct angle when the point is in I or IV quadrants

Babynini
 one year ago
Best ResponseYou've already chosen the best response.1for III and II add 180?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.4When th point lies in II or III quadrants, you need to add 180 degrees to the answer given by your calculator

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.4In our case, the point (5, 25) is in II quadrant so we added 180 degrees to the answer given by calculator

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.4this is one of the things that trips all students when they begin to learn inverse trig functions

Babynini
 one year ago
Best ResponseYou've already chosen the best response.1yeah man, i'm kind of trippin now haha but I think I get it.

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.4watch this video if u have time https://www.khanacademy.org/math/trigonometry/unitcircletrigfunc/inverse_trig_functions/v/inversetrigfunctionsarctan

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.4not now, when ever you have time and feel like... it explains arctan function very nicely
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