Find the sum of the following vectors: →a = ^i - ^j, →b = 2^i + ^j, →c = 2^i + 3^k

Add the vectors →a = ^i - ^j, →b = 2^i + ^j and →c = 2^i + 3^k by writing them in the component form that is →a = ⟨1, -1, 0⟩, →b = ⟨2, 1, 0⟩ and →c = ⟨2, 0, 3⟩. Then the sum of the vectors can be computed as follows:
→a + →b + →c = ⟨1 + 2 + 2, -1 + 1 + 0, 0 + 0 + 3⟩ = ⟨5, 0, 3⟩
Hence the sum of the vectors is ⟨5, 0, 3⟩ = 5^i + 3^k.