KVPY Government Jobs Exams

Let kˆ jˆ iˆ u = 2 − + r , kˆ v = −3ˆj + 2 r be vectors in R3 and w r be a unit vector in the xy-plane. Then the maximum
possible value of | (u r × v r ) .w r | is-

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KVPY Other Question

Three vertices are chosen randomly from the seven vertices of a regular 7-sided polygon. The probability
that they form the vertices of an isosceles triangle is- How many six-digit numbers are there in which no digit is repeated, even digits appear at even places, odd
digits appear at odd places and the number is divisible by 4 ?
(A) 3600 (B) 2700 (C) 2160 (D) 1440