Relative to an origin O, the position vectors of the points A and B are given by

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Relative to an origin O, the position vectors of the points A and B are given by OAvector = 5i +3j and OBvecoter = 5i + kj + μk.

a. In the case where λ = 0 and μ = 7, find the unit vector in the direction of ABvector.

b. Given that triangle OAB is right-angled with area 5√34 and μ = 10, find the value of λ.

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