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  • Find the position vector of the mid point of the vector joining the points P(2, 3, 4) and Q(4, 1, –2).

Q16   Find the position vector of the mid point of the vector joining the points P(2, 3, 4) and Q(4, 1, –2).

Answers (1)

best_answer

Given 

The position vector of point P = 2\hat i+3\hat j +4\hat k

Position Vector of point Q = 4\hat i+\hat j -2\hat k

The position vector of R which divides PQ in half is given by:

\vec r =\frac{2\hat i+3\hat j +4\hat k+4\hat i+\hat j -2\hat k}{2}

\vec r =\frac{6\hat i+4\hat j +2\hat k}{2}=3\hat i+2\hat j +\hat k

 

Posted by

Pankaj Sanodiya

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