Vector Algebra Question 222

Question: If $ \mathbf{a}=3\mathbf{i}-2\mathbf{j}+\mathbf{k},\mathbf{b}=2\mathbf{i}-4\mathbf{j}-3\mathbf{k} $ and $ \mathbf{c}=-\mathbf{i}+2\mathbf{j}+2\mathbf{k}, $ then $ \mathbf{a}+\mathbf{b}+\mathbf{c} $ is

[MP PET 2001]

Options:

A) $ 3\mathbf{i}-4\mathbf{j} $

B) $ 3\mathbf{i}+4\mathbf{j} $

C) $ 4\mathbf{i}-4\mathbf{j} $

D) $ 4\mathbf{i}+4\mathbf{j} $

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Answer:

Correct Answer: C

Solution:

  • $ \mathbf{a}+\mathbf{b}+\mathbf{c}=(3+2-1)\mathbf{i}+(-2-4+2)\mathbf{j}+(1-3+2)\mathbf{k} $ $ =4\mathbf{i}-4\mathbf{j} $ .