[" Twenty seven icentical drops of mer "],[" the same potentid of To units Assun "],[" to form one large drop,then its poten "],[O(A)45" units "],[O(B)" t3"5" units "],[O(c)" 27ounts "],[" O (o) gounits "]

The ratio of the length of a rod and its shadow is 1:sqrt(3) .The angle of elevation of the sum is 30o (b) 45o (c) 60o (d) 90o .

The position vectors of three vertices A,B,C of a tetrahedron OABC with respect to its vertex O are hati,6hatj,hatk , then its volume (in cu units) is

If A=B+C have scalar magnitudes o 5,4,3 units respectively , then find the between A and C.

The area of the triangle formed by the vertices O, A, and B, where vecOA = hati + 2hatj +3hatk and vecOB = -3hati -2hatj + hatk is (A) 3sqrt5 units^2 (B) 5sqrt5 units^2 (C) 6sqrt5 unit^2 (D) 4 unit^2

The area of the triangle formed by the vertices O, A, and B, where vecOA = hati + 2hatj +3hatk and vecOB = -3hati -2hatj + hatk is (A) 3sqrt5 units^2 (B) 5sqrt5 units^2 (C) 6sqrt5 unit^2 (D) 4 unit^2

In the structure of borax, the numbers of boron atoms and B-O-B units, respectively, are

Consider a cube of side 'a' unit has one vertex at the origin O. Write down the co-ordinate O, O' , A and A'

A body of mass 5 kg is dropped form a height o 1 m. Its kinetic energy just before reaching the ground is

Consider an ellipse E ,(x^2)/(a^2)+(y^2)/(b^2)=1 , centered at point O andhaving A B and C D as its major and minor axes, respectively. If S_1 is one of the focus of the ellipse, the radius of the incircle of triangle O C S_1 is 1 unit, and O S_1=6 units, then the value of (a-b)/2 is_________