Only 2 vectors of same type can be added to get same quantity. Explain the meaning.

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Q. How many minimum number of coplanar vectors which represent same physical quantity having different magnitudes can be added to give zero resultant.

Q. Which of the following algebraic operations with scalar and vector physical quantities are meaningful.

(i) adding any two vectors
(ii) adding a scalar to a vector of the same dimensions
(iii) multiplying any vector by any scalar
(iv) multiplying any two scalars
(v) adding any two scalars
(vi) adding a component of a vector to the same vector.

Q. Two matrices can only be added if their are same.

Q. Assertion :Statement-I : Adding a scalar to a vector of the same dimensions is a meaningful algebraic operation.
Reason: Statement-II : The displacement can be added with distance.

State with reasons, whether the following algebraic operations with scalar and vector physical quantities are meaningful:

(a) adding any two scalars, (b) adding a scalar to a vector of the same dimensions, (c) multiplying any vector by any scalar, (d) multiplying any two scalars, (e) adding any two vectors, (f) adding a component of a vector to the same vector.

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