यदि और संरेखीय सदिश हैं, तो p और q के संभाव्य मान क्रमशः क्या हैं?

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  1. 4, 1
  2. 1, 4

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संकल्पना:

दो सदिश  के संरेखीय होने के लिए​  है, जहाँ λ अदिश है। 

गणना:

दिया गया है कि, सदिश & संरेखीय हैं।

चूँकि दो सदिश  संरेखीय हैं, तो  है, जहाँ λ अदिश है।

⇒ 

⇒ 

⇒ λp = 4,  λq = 1 और -2λ = -3

⇒  λ = 3/2

इसलिए, λp = 4 और λq = 1 में λ = 3/2 रखने पर, हमें निम्न प्राप्त होता है

⇒ (3/2)p = 4 और (3/2)q = 1

⇒ p = 8/3 और q  = 2/3

∴   सही उत्तर है।

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