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Question

The position vectors of the points A,B,C are ¯i+2¯j−¯¯¯k,¯i+¯j+¯¯¯k,2¯i+3¯j+2¯¯¯k respectively. If A is chosen as the origin then the position vectors of B and C are

A
¯i+2¯¯¯k,¯i+¯j+3¯¯¯k
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B
¯j+2¯¯¯k,i+¯j+3¯¯¯k
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C
¯j+2¯¯¯k,i¯j+3¯¯¯k
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D
¯j+2¯¯¯k,¯i+¯j+3¯¯¯k
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Solution

The correct option is C ¯j+2¯¯¯k,¯i+¯j+3¯¯¯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+2jk)=j+2k ( New position vector of point B)

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


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