The locus of a point equidistant from two points with position vectors `veca` and `vecb` is

The locus of a point equidistant from two intersecting lines is

The locus of a point equidistant from three collinear points is

The locus of the point equidistant from two given points a and b is given by

The locus of a point, equidistant from the coordinate axes is _______

Find the position vector of a point, which divides the join of the points with position vectors veca-2vecb and 2 veca + vecb externally in the ratio 2 : 1 .

The position vector of the point which divides the join of points with position vectors veca+vecb and 2veca-vecb in the ratio 1:2 is

The position vector of the point, which divides the join of the points with position vectors veca + vecb and 2 veca - vecb in the ratio 1:2 is :