For this question angle and co-ordinate points must be given for A and B.
Let the co-ordinate of A is(x1,y1) and angle with positive x axis is=θ
And co-ordinate for the point B is (x2,y2) and it is making an angle ϕ
So, A=x1cosθi^+y1sinθj^
Similarly, B=x2cosϕi^+y2sinϕj^
Now it is given C=−5.00A+4.00B
Now, substituting the values,
⇒C=−5(x1cosθi^+y1sinθj^)+4.00(x2cosϕi^+y2sinϕj^)
⇒C=(4x2cosϕ−5x1cosθ)i^+(4y2sinϕ−5y1sinθ)j^)
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