यदि सदिश हैं जिससे और है, तो का संभव मान क्या है?

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Answer (Detailed Solution Below)

Option 3 : 4
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NIMCET 2020 Official Paper
120 Qs. 480 Marks 120 Mins

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संकल्पना:

  • सदिश का स्वयं के लिए पार गुणनफल = 0 
  • संरेखीय सदिश का पार गुणनफल = 0 
  • संरेखीय सदिश का बिंदु गुणनफल = उनके परिमाणों का गुणनफल 
  • बिंदु गुणनफल के लिए 
  • पार गुणनफल के लिए 
  •  की दिशा में इकाई सदिश 
  •  की दिशा में सदिश = ( का परिमाण) ×

 

गणना:

दिया गया है:

⇒ 

⇒ 

⇒ 

इसका अर्थ है कि  और   संरेखीय सदिश हैं। 

 

∴  

⇒  

⇒ \(\boldsymbol{\rm\vec a + \vec b = 2\hat i + 3\hat j + 4\hat k}\)

⇒  

⇒  

⇒ 

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