यदि और समानांतर सदिश हैं, तो b किसके बराबर है?

  1. 5
  2. 10
  3. 15
  4. 20

Answer (Detailed Solution Below)

Option 3 : 15
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Agniveer Navy SSR Full Test - 01
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Detailed Solution

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संकल्पना:

यदि  एक-दूसरे के समानांतर दो सदिश हैं, तो  या  है। 

गणना:

दिया गया है:

  और  समानांतर सदिश हैं,

इसलिए, 

 के गुणांक को बराबर करने पर 

⇒ 1 = 3λ, ∴ λ = 1/3            

⇒ -a = -6λ 

⇒ 5 = bλ                 .... (1)

समीकरण (1) में λ का मान रखने पर, हमें निम्न प्राप्त होता है 

5 = b × (1/3)

अतः b = 15

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