यदि सदिश  समतलीय हैं तो p का मान क्या है?

  1. 2
  2. 3/8
  3. - 3/8
  4. - 2

Answer (Detailed Solution Below)

Option 3 : - 3/8
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Agniveer Navy SSR Full Test - 01
100 Qs. 100 Marks 60 Mins

Detailed Solution

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अवधारणा:

  • यदि , और , तो  
  • यदि सदिश समतलीय हैं तो


गणना:

दिया गया है कि: सदिश  समतलीय हैं

जैसा कि हम जानते हैं कि, अगर सदिश समतलीय हैं तो

⇒ 

⇒ 2(0 - 4p) -(-1)(-15 - 0) + 1(12 - 0) = 0

⇒ -8p - 15 + 12 = 0

⇒ -8p - 3 =0 

⇒ -8p = 3

⇒ p = -3/8

इसलिए, सही विकल्प 3 है।

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