Relative to an origin O, the position vectors of points P, Q and R are -6i +

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Relative to an origin O, the position vectors of points P, Q and R are -6i + 8j, -4i + 2j and 5i + 5j respectively.

a. Find the magnitude of:

i. PQ(vector)

ii. PR(vector)

iii. QR(vector).

b. Show that angle PQR is 90°.

c. If OP(vector) = λOQ(vector) + µOR(vector), find the value of λ and the value of µ.

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