मराठी

The Cartesian equation of the plane rijkr→⋅(i^+j^-k^) = 2 is ______.

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प्रश्न

The Cartesian equation of the plane `vec"r" * (hat"i" + hat"j" - hat"k")` = 2 is ______.

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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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पाठ 11: Three Dimensional Geometry - Exercise [पृष्ठ २३९]

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एनसीईआरटी एक्झांप्लर Mathematics Exemplar [English] Class 12
पाठ 11 Three Dimensional Geometry
Exercise | Q 41 | पृष्ठ २३९
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