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Which of the following quantities are independent of the choice of orientation of the co-ordinate axes(vector A + B), 3Ax + 2By | vector A + B - C|, angle between vector B and C and λ A where λ is a scalar.

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A vector, its magnitude and angle between two vectors do not depend on the choice of orientation of the co-ordination of the coordinate axes. Therefore, (vector A + B,|A + B -C|) angle between (vector B and C and λ A) are independent of orientation of the co-ordination axes. Because, the quantity BAx + 2By depends upon the magnitude of components along x and y-axes, it will the change of co-ordinate axes.

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