हिंदी

The line r→=2i^-3j^-k^+λ(i^-j^+2k^) lies in the plane r→.(3i^+j^-k^)+2 = 0.

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प्रश्न

The line `vecr = 2hati - 3hatj - hatk + lambda(hati - hatj + 2hatk)` lies in the plane `vecr.(3hati + hatj - hatk) + 2` = 0.

विकल्प

  • True

  • False

MCQ
सत्य या असत्य
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उत्तर

This statement is False.

Explanation:

`vecn = 3hati + hatj - hatk`

`vecl = hati - hatj + 2hatk`

By using the theorem of perpendicular

⇒ `3 xx 1 + ((-1) + (-1)(2))`

⇒ `3 - 1 - 2`

= `2 - 2`

= 0

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अध्याय 12: Introduction to Three Dimensional Geometry - Exercise [पृष्ठ २३९]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 11
अध्याय 12 Introduction to Three Dimensional Geometry
Exercise | Q 46 | पृष्ठ २३९

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