Relative to an origin O, the position vector of A is i 2j + 5k and

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Relative to an origin O, the position vector of A is i − 2j + 5k and the position vector of B is 3i + 4j + k.

a. Find the magnitude of ABvector.

b. Use Pythagoras’ theorem to show that OAB is a right-angled triangle.

c. Find the exact area of triangle OAB.

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