Write the position vector of a point dividing the line segment joining points having position vectors i + j - 2k and 2i - j + 3k

Question

Write the position vector of a point dividing the line segment joining points having position vectors  \(\hat i+\hat j-2\hat k\)  and \(2\hat i-\hat j+3\hat k\) externally in the ratio 2 : 3

Answer 1

If a point R(\(\vec r\)) divides the vector joining point  P(\(\vec p\)) and  Q(\(\vec q\)) externally in the ration m : n, then

Here, 

Then