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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. |
Answer» (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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