यदि a̅ = 3i̅ - 2j̅ + k̅ और b̅ = 4i̅ +3j̅ - λk̅ लांबिक हैं, तो λ = ?

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AAI ATC Junior Executive 21 Feb 2023 Shift 1 Official Paper
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  1. 6
  2. 12
  3. -6
  4. -12

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Option 1 : 6
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दिया गया है:

.

अवधारणा:

दो सदिशों  को लांबिक तब माना जाता है, जब उनके बीच का कोण 90º होता है अर्थात सदिश परस्पर लंबवत होते हैं।

इसलिए, दोनों सदिश  का अदिश गुणनफल शून्य होता है।

  •  

गणना:

सही उत्तर विकल्प A अर्थात 6 है।

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