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Vector Construction help! I've been stuck on this for some time, not sure what to do! Construct c = a + b by drawing and calculating the direction and magnitude of c. The direction should be measured from the +axis. // See illustration below.
 6 months ago
 6 months ago
Vector Construction help! I've been stuck on this for some time, not sure what to do! Construct c = a + b by drawing and calculating the direction and magnitude of c. The direction should be measured from the +axis. // See illustration below.
 6 months ago
 6 months ago

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dav21Best ResponseYou've already chosen the best response.1
to add 2 vectors you need to connect them tip to end
 6 months ago

Study23Best ResponseYou've already chosen the best response.0
Okay, I got that part but was confused where to go from there
 6 months ago

Study23Best ResponseYou've already chosen the best response.0
Where do I go from there????
 6 months ago

ganeshie8Best ResponseYou've already chosen the best response.1
drawing part of the question is over, next calculate mag and direction of a+b
 6 months ago

Study23Best ResponseYou've already chosen the best response.0
That's the part where I'm stuck!
 6 months ago

Study23Best ResponseYou've already chosen the best response.0
The mag would be found using pythagorean theorem right?
 6 months ago

ganeshie8Best ResponseYou've already chosen the best response.1
to add vectors, u need to break them into components
 6 months ago

dav21Best ResponseYou've already chosen the best response.1
break vector into x component and y components then add x components and add y components
 6 months ago

ganeshie8Best ResponseYou've already chosen the best response.1
dw:1381003391274:dw
 6 months ago

ganeshie8Best ResponseYou've already chosen the best response.1
dw:1381003459892:dw
 6 months ago

Study23Best ResponseYou've already chosen the best response.0
Oh okay! So from there, I would use the pythagorean theorem, and for the direction, I would...?
 6 months ago

ganeshie8Best ResponseYou've already chosen the best response.1
first find the components of a+b
 6 months ago

ganeshie8Best ResponseYou've already chosen the best response.1
x component of a+b = 4.5cos(60)  8cos(45) y component of a+b = 4.5sin(60) + 8sin(45)
 6 months ago

ganeshie8Best ResponseYou've already chosen the best response.1
y components are in same direction, so u add them x components are in opposite directions, so u subtract them
 6 months ago

Study23Best ResponseYou've already chosen the best response.0
How do I know what to subtract from what?
 6 months ago

ganeshie8Best ResponseYou've already chosen the best response.1
dw:1381003731661:dw
 6 months ago

ganeshie8Best ResponseYou've already chosen the best response.1
dw:1381003758234:dw
 6 months ago

ganeshie8Best ResponseYou've already chosen the best response.1
we follow that, if ur components are in that direction, they're +ve if they're in opposite, they're ve
 6 months ago

ganeshie8Best ResponseYou've already chosen the best response.1
x component of a+b = 4.5cos(60)  8cos(45) y component of a+b = 4.5sin(60) + 8sin(45)
 6 months ago

ganeshie8Best ResponseYou've already chosen the best response.1
once you have the x and y components for c, to get direction just use the samne formula, \(\theta = \large \tan^{1} \frac{y}{x}\)
 6 months ago

ganeshie8Best ResponseYou've already chosen the best response.1
mag also same formula : \(\large \sqrt{x^2+y^2}\)
 6 months ago

ganeshie8Best ResponseYou've already chosen the best response.1
a+b is just a vector, so u can use same formulas
 6 months ago

Study23Best ResponseYou've already chosen the best response.0
That makes as a lot more sense, thank you so much!
 6 months ago

Study23Best ResponseYou've already chosen the best response.0
@ganeshie8 I get 25 degrees for angle?
 6 months ago

ganeshie8Best ResponseYou've already chosen the best response.1
dw:1381004400621:dw
 6 months ago

ganeshie8Best ResponseYou've already chosen the best response.1
check ur calculation again :)
 6 months ago

ganeshie8Best ResponseYou've already chosen the best response.1
wolfram says below : http://www.wolframalpha.com/input/?i=arctan%28%284.5sin%2860%29+%2B+8sin%2845%29%29%2F+%284.5cos%2860%29++8cos%2845%29%29%29 add 180 to it, to get into 2nd quadrant maybe
 6 months ago

Study23Best ResponseYou've already chosen the best response.0
@ganeshie8 What about if the vectors are being substracted then what do you do with the components for a and b? Is it the same like: we follow that, if ur components are in that direction, they're +ve if they're in opposite, they're ve
 6 months ago

Study23Best ResponseYou've already chosen the best response.0
The magnitudes is what I'm having trouble with. When I use the formula, I get a decimal answer?
 6 months ago

ganeshie8Best ResponseYou've already chosen the best response.1
for mag just take sqrt(x^2+y^2)
 6 months ago
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