Let \[x_2=\{n\ | 1\leq n\leq 200, n=k^2\ \exists k\in \z\},\] \[x_3=\{n\ | \ 1\leq n\leq 200, n=k^3\ \exists k\in \z\},\] and \[
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Concept: Solution of the given attachment is based on the addition of two vectors as given below.
Consider two vectors P and Q, then resultant of these two vectors is given as,
R = P + Q
To find the addition of G & H vectors. That is G + H =?
In the given figure;
Vector A = - Vector G because both are in opposite directions -----(i)
From the figure,
A + H = F --------------- using the given concept ---------(ii)
Now, shall replace the value of A from equation (i) in equation(ii)
- G + H = F
or, G + (- H) = - F
Since the vector addition of G & H is not equal to F.
Hence, the given statement G + H = F is False.
