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State with reasons, whether the followin...

State with reasons, whether the following algebraic operations with scalars and vectors ar meaningful. (a) Adding any scalar. 9b0 multiplying any tow sclars (e ) Adding any two vectors (f) Adding a component of a vector to the same vector.

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(a) No because only the scalars of same dimensins can be added.
9b) No, because a scalar connot be added to a verctor.
(C ) Yes, when acceleration `vec A` is multiplied by mass (m0, we ger a force ` vec F =m vec a`, which is a meaningful operation.
(d) Yes, when power (p) is multiplied by time (t0, we word done ` = Pt`, which is a useful operation.
(e) No , because the two vectors of same dimensions can be added.
(f) Yes, because both are vectors of the same dimensions.
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