Question

The position vectors of the points A,B,C are $\overline{i}+2\overline{j}-\overline{k},\overline{i}+\overline{j}+\overline{k},2\overline{i}+3\overline{j}+2\overline{k}$ respectively. If A is chosen as the origin then the position vectors of B and C are

• A. $\overline{i}+2\overline{k},\overline{i}+\overline{j}+3\overline{k}$
• B. $\overline{j}+2\overline{k},\overrightarrow{i}+\overline{j}+3\overline{k}$
• C. $-\overline{j}+2\overline{k},\overrightarrow{i}-\overline{j}+3\overline{k}$
• D. $-\overline{j}+2\overline{k},\overline{i}+\overline{j}+3\overline{k}$

Answer 1

Answer: (D)

$-\overline{j}+2\overline{k},\overline{i}+\overline{j}+3\overline{k}$

The origin is shifted so the new position vectors of B and C would be the difference of the old position vectors and the new origin vector i.e.

$(i+j+k)-(i+2j-k)=-j+2k$ ( New position vector of point B)

$(2i+3j+2k)-(i+2j-k)=i+j+3k$ ( New position vector of point A)