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Study23
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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.
 11 months ago
 11 months ago
Study23 Group Title
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.
 11 months ago
 11 months ago

This Question is Closed

Study23 Group TitleBest ResponseYou've already chosen the best response.0
dw:1381002960366:dw
 11 months ago

dav21 Group TitleBest ResponseYou've already chosen the best response.1
to add 2 vectors you need to connect them tip to end
 11 months ago

Study23 Group TitleBest ResponseYou've already chosen the best response.0
Okay, I got that part but was confused where to go from there
 11 months ago

dav21 Group TitleBest ResponseYou've already chosen the best response.1
dw:1381003142681:dw
 11 months ago

Study23 Group TitleBest ResponseYou've already chosen the best response.0
Where do I go from there????
 11 months ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
drawing part of the question is over, next calculate mag and direction of a+b
 11 months ago

Study23 Group TitleBest ResponseYou've already chosen the best response.0
That's the part where I'm stuck!
 11 months ago

Study23 Group TitleBest ResponseYou've already chosen the best response.0
The mag would be found using pythagorean theorem right?
 11 months ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
to add vectors, u need to break them into components
 11 months ago

dav21 Group TitleBest ResponseYou've already chosen the best response.1
add the components bro
 11 months ago

dav21 Group TitleBest ResponseYou've already chosen the best response.1
break vector into x component and y components then add x components and add y components
 11 months ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
dw:1381003391274:dw
 11 months ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
dw:1381003459892:dw
 11 months ago

Study23 Group TitleBest 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...?
 11 months ago

dav21 Group TitleBest ResponseYou've already chosen the best response.1
why pythagorean theorem
 11 months ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
first find the components of a+b
 11 months ago

Study23 Group TitleBest ResponseYou've already chosen the best response.0
for the magnitude
 11 months ago

ganeshie8 Group TitleBest 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)
 11 months ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
ringt ?
 11 months ago

ganeshie8 Group TitleBest 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
 11 months ago

Study23 Group TitleBest ResponseYou've already chosen the best response.0
How do I know what to subtract from what?
 11 months ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
number line :)
 11 months ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
dw:1381003731661:dw
 11 months ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
dw:1381003758234:dw
 11 months ago

ganeshie8 Group TitleBest 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
 11 months ago

ganeshie8 Group TitleBest 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)
 11 months ago

ganeshie8 Group TitleBest 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, \(\theta = \large \tan^{1} \frac{y}{x}\)
 11 months ago

Study23 Group TitleBest ResponseYou've already chosen the best response.0
what about mag?
 11 months ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
mag also same formula : \(\large \sqrt{x^2+y^2}\)
 11 months ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
a+b is just a vector, so u can use same formulas
 11 months ago

Study23 Group TitleBest ResponseYou've already chosen the best response.0
That makes as a lot more sense, thank you so much!
 11 months ago

Study23 Group TitleBest ResponseYou've already chosen the best response.0
@ganeshie8 I get 25 degrees for angle?
 11 months ago

Study23 Group TitleBest ResponseYou've already chosen the best response.0
@ganeshie8 ?
 11 months ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
looks wrong
 11 months ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
dw:1381004400621:dw
 11 months ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
check ur calculation again :)
 11 months ago

ganeshie8 Group TitleBest 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
 11 months ago

Study23 Group TitleBest 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
 11 months ago

Study23 Group TitleBest 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?
 11 months ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
for mag just take sqrt(x^2+y^2)
 11 months ago
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