The position vectors of the point \( A, B \) and \( C \) are \( \hat{i}+2 \hat{j}-\hat{k}, \hat{...

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The position vectors of the point \( A, B \) and \( C \) are \( \hat{i}+2 \hat{j}-\hat{k}, \hat{i}+\hat{j}+\hat{k} \) and \( 2 \hat{i}+3 \hat{j}+2 \hat{k} \) respectively. If \( A \) is chosen as the origin, then the position vectors of \( B \) and \( C \) are:
(a) \( \hat{i}+2 \hat{k}, \hat{i}+\hat{j}+3 \hat{k} \)
(b) \( \hat{j}+2 \hat{k}, \hat{i}+\hat{j}+3 \hat{k} \)
(c) \( -\hat{j}+2 \hat{k}, \hat{i}-\hat{j}+3 \hat{k} \)
(d) \( -\hat{j}+2 \hat{k}, \hat{i}+\hat{j}+3 \hat{k} \)
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