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प्रश्न
The Cartesian equation of the plane `vec"r" * (hat"i" + hat"j" - hat"k")` = 2 is ______.
उत्तर
The Cartesian equation of the plane `vec"r" * (hat"i" + hat"j" - hat"k")` = 2 is x + y – z = 2.
Explanation:
Given equation is `vec"r" * (hat"i" + hat"j" - hat"k")` = 2
⇒ `(xhat"i" + yhat"j" + zhat"k").(hat"i" + hat"j" - hat"k")` = 2
⇒ x + y – z = 2
Hence, the Cartesian equation of the plane is x + y – z = 2
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