IIT-JEE Exam

The vector(s) which is/are coplanar with vectors ˆi + ˆj+ 2kˆ and ˆi + 2ˆj+ kˆ , and perpendicular to the vector
ˆi + ˆj+ kˆ is/are

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IIT-JEE Other Question

Let f: R ® R be a function such that f(x + y) = f(x) + f(y), " x, y Î R. If f(x) is differentiable at x = 0, then
(A) f(x) is differentiable only in a finite interval containing zero
(B) f(x) is continuous " x Î R
(C) f¢(x) is constant " x Î R
(D) f(x) is differentiable except at finitely many points Let M and N be two 3 ´ 3 non-singular skew symmetric matrices such that MN = NM. If PT denotes the
transpose of P, then M2N2 (MTN)–1 (MN–1)T is equal to