[" I "A" is rotated by a small angle "Delta theta" radians "(Delta theta<<1)" to get a new vector "B" .In that cas "],[" is: "]

If a variable line in two adjacent positions has direction cosines l, m, n and I + delta I, m + delta m, n + delta n, then show that the small angle delta theta between the two positions is given by delta theta^2=deltal^2+deltam^2+deltan^2 .

If the direction cosines of a variable line in two adjacent points be l,M,n and l+delta l,m+delta m+n+delta n the small angle delta theta as between the two positions is given by

A vector vec(a) is turned without a change in its length through a small angle d theta . Find the value of |Deltavec(a)| and Delta a .

A vector vec(a) is turned without a change in its length through a small angle d theta . Find the value of |Deltavec(a)| and Delta a .

Angle of dip at a place = theta , if the angle of dip in a vertical plane making angle delta with the magnetic meridian be theta' , show that , tantheta':tan theta=secdelta:1

An equilateral triangle BOC is drawn inside a square ABCD. If angle AOD= 2theta , what is tan theta equal to ?

If the bisector of angle A of triangle ABC makes an angle theta with BC, then sin theta is

Let in a right angled triangle, the smallest angle theta If triangle formed by taking the reciprocal of its sides is also a right angled triangle, then sin theta is equal to :

In a triangle ABC, prove that for any angle theta,b cos(A-theta)+a cos(B+theta)=C cos theta

In a triangle ABC, prove that for any angle theta, b cos (A - theta) + a cos (B + theta) = C cos theta .