Give an example for which →A·→B=→C·→B but →A ≠→C.
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Explanation:
in an isoceles triangleABC
- let ac be the hypotenuse
- so wkt,AB=CB(because it is an isoceles triangle)
- ab is not equal to ac
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An example for which →A·→B=→C·→B but →A ≠→C is as follows
Explanation:
It is to be proven that
Let’s assume that to is perpendicular and is along the direction of west.
Also, to is perpendicular and it is along the north and south directions.
To is perpendicular. Hence, the scalar or dot product is zero.
That is,
To is perpendicular. Hence, the scalar or dot product is zero.
That is,
Therefore,
Hence, it is proved.
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