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Karnataka Board PUCPUC Science Class 11

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

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Question

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

Answer in Brief
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Solution

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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Chapter 2: Physics and Mathematics - Short Answers [Page 28]

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HC Verma Concepts of Physics Vol. 1 [English] Class 11 and 12
Chapter 2 Physics and Mathematics
Short Answers | Q 7 | Page 28

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