Find the equation of set of points P such that `PA^(2)+PB^(2)=2k^(2)` where A and B are the points (3,4,5) and (-1,3,-7) respectively

Find the equation of set of the points P such that its distance from the points A(3,4,-5) and B(-2,1,4) are equal ?

Find a vector of magnitude 11 in the direction on opposite to that of bar(PQ) . Where P and Q are the points (1,3,2) and (-1,0,8), respectively.

Find the distance between the points A(2,3,4) and B (-1,2,3)

Find the distance between the points (-3,7,2) and (2,4,-1).

If A and B be the points (3,4,5) and (-1,3,-7) respectively find the equation of the set of points P such that PA^(2)+PB^(2)=K^(2) where k is a constant

Find the equation of the set of points which are equidistant from the points (1,2,3) and (3,2,-1) ?

Find the position vector of the mid point of the line-segment AB, where A is the point (3, 4, -2) and B is the point (1,2,4).

Find the value of k , if the points A(2,3),B(4,k) and C(6,-3) are collinear .

Find the unit vector in the direction of vector overline(PQ) , where P and Q are the points P=(1,2,3).Q=(4,5,6) respectively.