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Question

Why can't you add a scalar to a vector?


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Solution

Scalar quantity

  1. A quantity that has only magnitude and no direction.
  2. Scalars can be added to scalars only.

Vector quantity

  1. A quantity that has both magnitude and direction.
  2. Vectors can be added to vectors only.

Explanation

  1. Vectors and scalars have different dimensions.
  2. Vectors have both magnitude and direction whereas scalars have only magnitude, so they cannot be added.

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