Vector Algebra Question 251

Question: If the position vectors of the points A and B are $ c=(2,-2,,4) $ and $ 3\mathbf{i}-\mathbf{j}-3\mathbf{k}, $ then what will be the position vector of the mid-point of AB

[MP PET 1992]

Options:

A) $ \mathbf{i}+2\mathbf{j}-\mathbf{k} $

B) $ 2\mathbf{i}+\mathbf{j}-2\mathbf{k} $

C) $ 2\mathbf{i}+\mathbf{j}-\mathbf{k} $

D) $ \mathbf{i}+\mathbf{j}-2\mathbf{k} $

Show Answer

Answer:

Correct Answer: B

Solution:

  • $ \frac{3\mathbf{i}-\mathbf{j}-3\mathbf{k}+\mathbf{i}+3\mathbf{j}-\mathbf{k}}{2}=2\mathbf{i}+\mathbf{j}-2\mathbf{k}. $


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