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In the figure, a vector x → satisfies the equation x → – w → = v → , then x → is equal to

Options

  1. A2 a → + b → + c →
  2. Ba → + 2 b → + c →
  3. Ca → + b → + 2 c →
  4. Da → + b → + c →

Correct answer

B. a → + 2 b → + c →

Step-by-step solution

In △ A C D v → = b → + c → (Apply triangle law of vector addition) In △ A B D w → = b → + a → (Apply triangle law of vector addition) We have, x → = v → + w → = a → + 2 b → + c →

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