If `O` is the origin, `O P=3` with direction ratios `-1,2,a n d-2,` then find the coordinates of `Pdot`

Find the vector equation of a plane which is at a distance of 6 units from the origin and has 2, -1, 2 as the direction ratios of a normal to it. Also, find the coordinates of the foot of the normal drawn from the origin.

If the distance between the origin O and point P is 5 units and the direction ratios of line segment are (1,-2,3) then the coordinates of P are

If O be the origin and OP=r and OP makes an angle theta with the positive direction of x-axis and lies in the XY plane find the coordinates of P.

Find the angles at which a line with direction ratios 2,-1,2 is inclined to each of the coordinate axes.

Let O be the origin and P be the point at a distance 3 units from origin. If direction ratios of OP are (1,-2,-2), then coordinates of P is given by

The foot of the perpendicular drawn from the origin to a plane is (1,2,-3). Find the equation of the plane.or If O is the origin and the coordinates of P is (1,2,-3), then find the equation of the plane passing through P and perpendicular to OP.

If O be the origin and OP makes an angle of 45^0 and 60^0 with the positive direction of x and y axes respectively and OP=12 units, find the coordinates of P.

If O be the origin and the coordinates of P be(1," "2," "" "-3) , then find the equation of the plane passing through P and perpendicular to OP.

The direction ratios of AB are -2,2,1. If A-=(4,1,5) and 1(AB)=6 units,find coordinated of B.