Find the position vector of a point `R` which divides the line joining two points P and Q whose position vectors are `hati+2hatj-hatk and -hati+hatj+hatk`, 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 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 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 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 the point P(hati + 2hatj - hatk) and Q(-hati + hatj + hatk) in the ratio 2 : 1 internally .

Find the position vector of a point R which divides the line joining the point P(hati + 2hatj - hatk) and Q(-hati + hatj + hatk) in the ratio 2 : 1 , (i) internally and (ii) externally.

Findthe vector equation of a straighat line which passes through the points whose position vector are hati-2hatj+hatk and 3hatk-2hatj.

Find the equation of a line passes through the points whose position vectors are (hati+4hatj+hatk) and (2hati-hatj+5hatk) .

A unit vector perpendicular to the plane passing through the points whose position vectors are hati-hatj+2hatk, 2hati-hatk and 2hati+hatk is

If the position vectors of P and Q are (hati+3hatj-7hatk) and (5hati-2hatj+4hatk) , then |PQ| is

What is the vector equation of line through the points with position vectors hati+hatj+2hatk and 2hati+hatk .