Vector Algebra Question 73

Question: In the figure, a vector x satisfies the equation $ \mathbf{x}-\mathbf{w}=\mathbf{v} $ . Then x =

Options:

A) $ 2\mathbf{a}+\mathbf{b}+\mathbf{c} $

B) $ \mathbf{a}+2\mathbf{b}+\mathbf{c} $

C) $ \mathbf{a}+\mathbf{b}+2\mathbf{c} $

D) $ \mathbf{a}+\mathbf{b}+\mathbf{c} $

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Answer:

Correct Answer: B

Solution:

  • $ \mathbf{v}=\mathbf{b}+\mathbf{c} $ ?..(i) $ \mathbf{w}=\mathbf{b}+\mathbf{a} $ ?..(ii) We have, $ \mathbf{x}=\mathbf{v}+\mathbf{w}=\mathbf{a}+2\mathbf{b}+\mathbf{c} $ .