Relative to an origin O, the position vectors of A, B and C are -2i + 7j,

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Relative to an origin O, the position vectors of A, B and C are -2i + 7j, 2i – j and 6i + λj respectively.

a. Find the value of λ when AC = 17.

b. Find the value of λ when is a straight line.

c. Find the value of λ when ABC is a right-angle.

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