Without expanding determinant show that`|(l,m,n),(e,d,f),(u,v,w)|=|(n,f,w),(l,e,u),(m,d,v)|`

What is the relation between f, u, and v.

Answer the question with the help of the figure given below: Find d(U, V) , d(P, C), d(V, B), d(U, L).

Let f(x)=x^2a n dg(x)=sinxfora l lx in Rdot Then the set of all x satisfying (fogogof)(x)=(gogof)(x),w h e r e(fog)(x)=f(g(x)), is

From the information given below, find which of the points is between the other two. If the points are not collinear, state so. d(L, M) = 11, d (M, N) = 12, d (N, L) = 8

If the direction cosines of two lines are l_(1), m_(1), n_(1) and l_(2), m_(2), n_(2) , then find the direction cosine of a line perpendicular to these lines. a) l_(1)+l_(2),m_(1)+m_(2),n_(1)+n_(2) b) l_(1)-l_(2),m_(1)-m_(2),n_(1)-n_(2) c) m_(1)n_(2)-m_(2)n_(1),n_(1)l_(2)-n_(2)l_(1),l_(1)m_(2)-l_(2)m_(1) d) l_(1)+2l_(2),m_(1)+2m_(2),n_(1)+2n_(2)

Represent the union of two sets by Venn diagram for each of the following : P = {a, b, c, e, f}, Q = {l, m, n, e, b}

Represent the union of two sets by Venn diagram for each of the following : P={a, b, c, e, f}, Q = { l, m, n, e, b}

If u =-f''(theta) sintheta + f'(theta) costheta and v = f''(theta) costheta + f'(theta) sintheta , then int[((du)/(d theta))^2+((dv)/(d theta))^2]^(1/2)d theta is equal to