यदि A (1, 2, -3) और B (-1, -2, 1) स्थान में दिए गए दो बिंदु हैं, तो  का दिशा अनुपात ज्ञात कीजिए। 

  1. 2, 4, 4
  2. -2, 4, 4
  3. 2, -4, 4
  4. -2, -4, 4

Answer (Detailed Solution Below)

Option 4 : -2, -4, 4
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Electric charges and coulomb's law (Basic)
10 Qs. 10 Marks 10 Mins

Detailed Solution

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संकल्पना:

  • यदि A (x, y, z) और B (p, q, r) एक स्थान में दो बिंदु हैं, तो सदिश   है। 
  • यदि  एक सदिश है, तो सदिश  का दिशा अनुपात संख्याएँ a1, a2, a हैं। 

गणना:

दिया गया है: A (1, 2, - 3) और B (- 1, - 2, 1) एक स्थान में दो बिंदु हैं। 

चूँकि हम जानते हैं कि, यदि A (x, y, z) और B (p, q, r) एक स्थान में दो बिंदु हैं, तो सदिश    है।  

चूँकि हम जानते हैं कि, यदि  एक सदिश है, तो सदिश  का दिशा अनुपात संख्याएँ a1, a2, a3 हैं। 

∴ सदिश  का दिशा अनुपात - 2, - 4, 4 हैं। 

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