If `bar(OA)=2i-3j+k`,`bar(OB)=3i+4j-2k` then d.C s of `bar(AB)` are
A `(1)/(sqrt(59))(1,7,3)`
B.`(1)/(sqrt(59))(1,-7,-3)`
C.`(1)/(sqrt(59))(-1,7,-3)`
D`(1)/(sqrt(59))(1,7,-3)`

If z = ((1)/(sqrt(3)) + (1)/(2)i)^(7) + ((1)/(sqrt(3))-(1)/(2)i)^(7) , then

Let vec a=2i+j+k,vec b=i+2j-k and a unit vector vec c be coplanar.If vec c is perpendicular to vec a, then vec c is (1)/(sqrt(2))(-j+k) b.(1)/(sqrt(3))(-i-j-k)quad c.(1)/(sqrt(5))(-k-2j)d(1)/(sqrt(3))(i-j-k)

Distance between line r=i+j+k+lambda(2i+j+4k) and plane ri+2j-k=3 is (1)(4)/(sqrt(6))(2)(5)/(sqrt(6))(3)(1)/(sqrt(6))(4) 0(5) (2)/(sqrt(6))

If a,b,c real in G.P.then the roots of the equation ax^(2)+bx+c=0 are in the ratio (1)/(2)(-1+sqrt(3)) b.(1)/(2)(1-i sqrt(3)) c.(1)/(2)(-1-i sqrt(3)) d.(1)/(2)(1+i sqrt(3))

tan^(2)((1)/(2)sin^(-1)(2)/(3))= (A) (7+3sqrt(3))/(2) (B) (7-5sqrt(3))/(2) (C) (7-3sqrt(5))/(2) (D) (7+5sqrt(3))/(2)

Which of the following is equal to root(3)(-1)?(sqrt(3)+sqrt(-1))/(2) b.(-sqrt(3)+sqrt(-1))/(sqrt(-4)) c.(sqrt(3)-sqrt(-1))/(sqrt(-4))d.-sqrt(-1)

If x=1+(1)/(3+(1)/(2+(1)/(2+(1)/(2oo))))a sqrt((5)/(2))b*sqrt((3)/(2))csqrt((7)/(3))d.sqrt((5)/(3))

sqrt(2)+sqrt(3)+sqrt(7)-(1)/(sqrt(2)+sqrt(3)+sqrt(7))=?