root(4)(4)^(n)C_(10)=^(n)C_(15)vec st+vec a^(28)C_(n)

If .^(n)C_(10) = .^(n)C_(15) , then evaluate .^(27)C_(n) .

If .^(n)C_(10) = .^(n)C_(15) , then evaluate .^(27)C_(n) .

If vec a,vec b and vec c are any three non-coplanar vectors,then prove that points l_(1)vec a+m_(1)vec b+n_(1)vec c,l_(2)vec a+m_(2)vec b+n_(2)vec c,l_(3)vec a+m_(3)vec b+n_(3)vec c,l_(4)vec a+m_(4)vec b+n_(4)vec c are coplanar if [[n_(1),n_(2),n_(3),n_(4)1,1,1,1]]=0

The reflection of the point vec a in the plane vec rdot vec n=q is a. vec a+(( vec q- vec adot vec n))/(| vec n|) b. vec a+2((( vec q- vec adot vec n))/(| vec n|)) vec n c. vec a+(2( vec q+ vec adot vec n))/(| vec n|^2) vec n d. none of these

The reflection of the point vec a in the plane vec rdot vec n=q is a. vec a+(( vec q- vec adot vec n))/(| vec n|) b. vec a+2((( vec q- vec adot vec n))/(| vec n|)) vec n c. vec a+(2( vec q+ vec adot vec n))/(| vec n|^2) vec n d. none of these

The reflection of the point vec a in the plane vec rdot vec n=q is a. vec a+(( vec q- vec adot vec n))/(| vec n|) b. vec a+2((( vec q- vec adot vec n))/(| vec n|^2)) vec n c. vec a+(2( vec q+ vec adot vec n))/(| vec n|^2) vec n d. none of these

The reflection of the point vec a in the plane vec rdot vec n=q is a. vec a+(( vec q- vec adot vec n))/(| vec n|) b. vec a+2((( vec q- vec adot vec n))/(| vec n|)) vec n c. vec a+(2( vec q+ vec adot vec n))/(| vec n|^2) vec n d. none of these

Let vec(A), vec(B) and vec(C ) be unit vectors. Suppose vec(A).vec(B) = vec(A).vec(C ) = 0 and that the angle between vec(B) and vec(C ) is (pi)/(6) " then " vec(A) = +- n[vec(B) xx vec(C )] find the n

If vec(a)= hati - hatj, bar(b) = hat(i) + hat(j), vec(c) = hat(i) + 3hat(j) + 5hat(k) and vec(n) be a unit vector such that vec(b).vec(n) =0, vec(a).vec(n) = 0 then value of |vec(c).vec(n)| is