Let . Then find the value of a.(b × c)

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Agniveer Vayu Science (Group X) 18 Jan 2023 Memory Based Paper
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  1. 40
  2. 0
  3. 60
  4. 85

Answer (Detailed Solution Below)

Option 3 : 60
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Electric charges and coulomb's law (Basic)
10 Qs. 10 Marks 10 Mins

Detailed Solution

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Concept:

If  then

  • Dot product:  and
  • Cross product: 

Calculation:

Given, 

⇒ b × c = (2(1) - (-3)(1))  + ((-3)(1) - 7(1))  + (7(1) - 2(1)) 

⇒ b × c = 

⇒ a.(b × c) = 2(5) + (-3)(-10) + 4(5)

⇒ a.(b × c) = 10 + 30 + 20 = 60

∴ The correct option is (3).

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