Question Video: Expressing a Vector in Terms of Unit Vectors Mathematics

Given that 𝐀 = ⟨0, 2⟩, express the vector 𝐀 in terms of the unit vectors 𝐢 and 𝐣.

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Video Transcript

Given that vector 𝐀 is equal to zero, two, express the vector 𝐀 in terms of the unit vectors 𝐢 and 𝐣.

When dealing with vectors in two dimensions, we know that the unit vectors 𝐢 and 𝐣 are vectors of length one in the directions 𝑜𝑥 and 𝑜𝑦, respectively. This means that given any point 𝑃 with coordinates 𝑥, 𝑦, vector 𝐏 is equal to 𝑥𝐢 plus 𝑦𝐣. In this question, we are told that vector 𝐀 is equal to zero, two. This means that 𝑥 is equal to zero and 𝑦 is equal to two. As 𝑥 is equal to zero, we can simply write vector 𝐀 as two 𝐣.

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