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Can You Add Two Vectors Representing Physical Quantities Having Different Dimensions? Can You Multiply Two Vectors Representing Physical Quantities Having Different Dimensions?

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प्रश्न

Can you add two vectors representing physical quantities having different dimensions? Can you multiply two vectors representing physical quantities having different dimensions?

संक्षेप में उत्तर
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उत्तर

No, we cannot add two vectors representing physical quantities of different dimensions. However, we can multiply two vectors representing physical quantities with different dimensions.
Example: Torque,

\[\vec{\tau} = \vec{r} \times \vec{F}\]
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अध्याय 2: Physics and Mathematics - Short Answers [पृष्ठ २८]

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एचसी वर्मा Concepts of Physics Volume 1 and 2 [English]
अध्याय 2 Physics and Mathematics
Short Answers | Q 7 | पृष्ठ २८

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