Find the position vector of a point R which divides the line joining two points P and Q whose position vectors are ` hat i+2 hat j- hat k`and `- hat i+ hat j+ hat k`respectively, in the ratio 2 : 1(i) internally (ii) externally

Find the position vector of a point R which divides the line joining two points P and Q whose Position Vector, are hat i + 2 hat j -hat k and - hat i+ hat j + hatk respectively, in the ratio 2 : 1 (i) internally,

Find the position vector of a point R which divides the line joining two points P and Q whose Position Vector, are hat i + 2 hat j -hat k and - hat i+ hat j + hatk respectively, in the ratio 2 : 1 externally

Find the position vectors of a point R which divides the line joining two points P and Q whose position vectors are hat(i)+2hat(j)-hat(k)- and - hat(i)+hat(j)-hat(k) respectively, in the ration 2:1 . (i) Internally, (ii) Externally.

Find the position vector of point R which divides the line joining the points P and Q whose position vectors are 2 hat(i) - hat(j) + 3 hat(k) and -5 hat(i) + 2 hat(j) - 5 hat(k) in the ratio 3 : 2 (i) internally (ii) externally.

Find the position vector of a point R which divides the line joining two points P and Q whose position vectors are hat i+2hat j-hat k and respectively,in the ratio 2:1(i) internally (ii) externally

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