3. (a) (i) If a = 2i - j + k, b = i + j - 2k and c = i + 3j - k, find such that a is perpendicular to λb + c. (ii) Find the angle between a and c. (b) Referred to the origin O, the points A and B have position vectors a and b such that a = i- j + k and b = i + 2j. The point C has position vector c given by c = a + ub, where A and are positive constants. Given that the area of triangle OAC is √126, find the value o

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A: The given vectors are,

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A: Thanks for the question :)And your upvote will be really appreciable ;)

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