SOLUTION: Morning Everyone, Struggling on this particular question, on vectors and scalars, was just wondering if anybody could help. a) Draw an xy plane and show the vectors a=2i+3

Algebra ->  Angles -> SOLUTION: Morning Everyone, Struggling on this particular question, on vectors and scalars, was just wondering if anybody could help. a) Draw an xy plane and show the vectors a=2i+3      Log On


   



Question 363469: Morning Everyone,
Struggling on this particular question, on vectors and scalars, was just wondering if anybody could help.
a) Draw an xy plane and show the vectors a=2i+3j and b=5i+j (need not be to scale). By constructing the appropriate parrallelogram, draw the resultant vector in terms of i and j.
b) A particle P is acted upon by forces (measured in Newtons) F1= 3i-2j+5k F2= -i+7j-3k, F3= 5i-j+4k and F4 = -2j+3k. Show the magnitude of the resultant force F acting on P is sqrt134 Newtons.
Many thanks in advance for any help

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
a)

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A=(2,3) :Blue
B=(5,1) :Black
A%2BB=(2%2B5,3%2B1)=(7,4) :Green
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b)
F%5B1%5D=(3,-2,5)
F%5B2%5D=(-1,7,-3)
F%5B3%5D=(5,-1,4)
F%5B4%5D=(0,-2,3)
F%5BR%5D=F%5B1%5D%2BF%5B2%5D%2BF%5B3%5D%2BF%5B4%5D=(3-1%2B5%2B0,-2%2B7-1-2,5-3%2B4%2B3)=(7,2,9)
abs%28F%5BR%5D%29=sqrt%287%5E2%2B2%5E2%2B9%5E2%29=sqrt%2849%2B4%2B81%29=sqrt%28134%29