Vector problem, I have to draw it though...

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a = <2,pi/3> b = <3,3pi/4> c= <1,pi/6> Write down a,b,c in terms of i and j Get a +c in terms of i and j

This is similar to a recent question, the notation is <magnitude, angle>

\[a+c = <2+1,\frac{(2)pi}{(2)3}+\frac{pi}{6}>\] \[a+c = <3,\frac{3pi}{6}>\] \[a+c = 3i+\frac{pi}{2}j\]

<xpart, ypart> is vector notation

vector equivalent of polar cordinates ; now theres something to write home about :)

x = r cos(t) ; y = r sin(t)

r is given and t is givne

\[a+c=<1,\sqrt{3}>+<\frac{1}{2},\frac{1}{\sqrt{3}}>\] \[a+c=<1+\frac{1}{2},\sqrt{3}+\frac{1}{\sqrt{3}}>\] \[a+c=(1+\frac{1}{2})i +(\sqrt{3}+\frac{1}{\sqrt{3}})j\]

a= i + sqrt3 j

right

i forgot the middle of the question :)

b = -3/sqrt2i +3/sqrt2j

c= sqrt3/2i + 1/2j

c = cos(30)i + sin(30)j

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