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vectors magnitude and direction

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vector a=4x-3y and vector b=2x+6y. What is the magnitude and direction of vector c=b-2a

Apr 20th, 2015

a = 4x - 3y       b = 2x + 6y

c= b - 2a

c = 2x + 6y - 2(4x - 3y)

c = 2x + 6y - 8x + 6y

c = - 6x + 12y

Magnitude = √[(-6)^2 + (12)^2]

                  = √[36 + 144]

                  = √180

                  = √36*5

                  = √36 * √5

Magnitude = 6√5

Direction vector = c / Magnitude

                           = - 6x + 12y / 6√5

                           = - 6x/6√5 + 12y/6√5

Direction vector = - 1/√5 x   +   2/√5 y

Apr 20th, 2015

Those aren't any of the choices that I have. Choices are

a)mag 15.6 dir 50 deg

b) mag 10 dir 180 deg

c) mag 15.6 dir 130 deg

d) mag 10 dir 0 deg

Apr 20th, 2015

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