Two vectors ??⃗ and ??�⃗ in three dimensional space are expressed by their coordinates (2, 4, – 5) and (1, 2, 3) respectively. a) Write down the two vectors ??⃗ and ??�⃗ in unit vector notations. (1 mark) b) Find the angles which the vector ??⃗ = (2, 4, – 5) makes with the -x, +y and +z axes. (6 marks) c) Find the projection of the vector ??⃗ = (2, 3, 1) in the perpendicular direction to the vector ??�⃗ = (1, 2, 3). (3 marks)

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