यदि   और  के बीच का कोण है और की दिशा में का प्रक्षेपण -2 है, तो का मान क्या है?

  1. 4
  2. 3
  3. 2
  4. 1

Answer (Detailed Solution Below)

Option 1 : 4
Free
NDA 01/2025: English Subject Test
30 Qs. 120 Marks 30 Mins

Detailed Solution

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संकल्पना:

  की दिशा में  का प्रक्षेपण = 

गणना:

दिया गया है,   और  के बीच का कोण   है और की दिशा में का प्रक्षेपण -2 है। 

हम जानते हैं कि,

  की दिशा में  का प्रक्षेपण = 

⇒ - 2 = 

⇒ - 2 = 

⇒ - 2 = 

⇒  

अतः यदि  और के बीच का कोण   है और  की दिशा में  का प्रक्षेपण -2 है, तो  4 है। 

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