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CBSE Class 11-science Answered

Is area a scalar quantity or vector? how small area is a vector quantity?
 
Asked by AOM SAI | 28 Dec, 2015, 07:29: PM
answered-by-expert Expert Answer
The magnitude of area is a scalar quantity.
But any element of area is not completely defined by its magnitude alone. For that we must know the orientation of that area element.
For example, area of a parallelogram is given as begin mathsize 12px style stack straight S space with rightwards arrow on top equals stack straight A space with rightwards arrow on top cross times stack straight B space with rightwards arrow on top end style, where begin mathsize 12px style stack straight A space with rightwards arrow on top end style and begin mathsize 12px style stack straight B space with rightwards arrow on top end style are its two sides. The unit vector of area is normal to both begin mathsize 12px style stack straight A space with rightwards arrow on top end style and begin mathsize 12px style stack straight B space with rightwards arrow on top end style. So the area element is correctly defined only if its magnitude and direction is defined. Therefore, it is a vector quantity.
Answered by Yashvanti Jain | 29 Dec, 2015, 10:43: AM
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