If `vec a = 4 hati - 3hat j` and `vec b= -2 hat i+ 5 hat j` are the position vectors of the points A and B respectively; find the position vector of the middle point of the line-segment `vec(AB)`; (ii) the position vectors of the points of trisection of the line-segment `vec(AB)`

If vec a=4hat i-3hat j and vec b=-2hat i+5hat j are the position vectors of the points A and B respectively find (i) the position vector of the middle point of the bar(AB)

If vec(a)=4vec(i)-3hat(j) " and " vec(b)=-2hat(i)+5hat(j) are the position vectors of the points A and B respectively, find (i) the position vector of the middle point of the line-segment bar(AB) , (ii) the position vectors of the points of trisection of the line-segment bar(AB) .

If vec a and vec b are position vectors of points A and B respectively,then find the position vector of points of trisection of AB

The position vecors of the points A and B are 4hat(i)-3hat(j)+5hat(k) " and " -2hat(i)+3hat(j)+2hat(k) respectively, find (i) the position vector of the middle point of the line-segment bar(AB) , (ii) the position vector of the points of trisection of the line-segment bar(AB) .

The position vector of the points A and B are respectively vec(a) and vec(b) . Find the position vectors of the points which divide AB in trisection.

If vec a= hat i- 2 hat j and vec b= 2 hat i+ 2 hat j , find a unit vector parallel to the vector 3 vec a- 2 vec b .

Let vec a and vec b be the position vectors of the points A and B. Prove that the position vectors of the points which trisects the line segment AB are (veca+2vecb)/(3)and (vecb+2veca)/(3) .

vec A B=3 hat i- hat j+ hat ka n d vec C D=-3 hat i+2 hat j+4 hat k are two vectors. The position vectors of the points Aa n dC are =6 hat i+7 hat j+4 hat ka n d=-9 hat j+2 hat k respectively. Find the position vector of a point P on the line A B and a point Q on the line C D such that vec P Q is perpendicular to vec A Ba n d vec C B both.

vec A B=3 hat i- hat j+ hat ka n d vec C D=-3 hat i+2 hat j+4 hat k are two vectors. The position vectors of the points Aa n dC are =6 hat i+7 hat j+4 hat ka n d=-9 hat j+2 hat k respectively. Find the position vector of a point P on the line A B and a point Q on the line C D such that vec P Q is perpendicular to vec A Ba n d vec C B both.