Locus of the point P, for which `vec(OP)` represents a vector with direction cosine `cos alpha = (1)/(2)` (where O is the origin) is

If O be the origin and P is the point (3,4,5),what are the direction cosine of OP?

If P-=(1,2,3) then direction cosines of OP are

If the co-ordinates of the point p are (1,2,2), what are the direction cosines of OP. (Here O is origin).

The co-ordinate of the point P are (x, y, z) and the direction cosines of the line OP when O is the origin are l, m, n. If OP = r, then

The co-ordinate of the point P are (x, y, z) and the direction cosines of the line OP when O is the origin are l, m, n. If OP = r, then

Position vector of a point vec(P) is a vector whose initial point is origin.

If O is the origin, OP = 3 with the direction cosines of OP is - (1)/(3) , (2)/(3), - (2)/(3), then find the coordinates of P .

The coordinates of a point P are (3,12,4) w.r.t. the origin O. Then the direction cosines of OP are

Let two non-collinear unit vectors hata and hatb form an acute angle. A point P moves so that at any time t the position vector vec(OP) (where O is the origin) is given by hata cos t + hatb sin t. When P is farthest from origin I, let M be the length of vec(OP) and hatu be teh unit vector along vec(OP). Then P: