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

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