Given that vector 𝐀 is equal to negative two 𝐢 plus four 𝐣, write the vector 𝐀 in Cartesian coordinates.
When dealing with vectors in two dimensions, we recall that vectors 𝐢 and 𝐣 are unit vectors in the directions 𝑜𝑥 and 𝑜𝑦, respectively. This means that any vector 𝐏 with Cartesian coordinates 𝑥𝑦 can be written 𝑥𝐢 plus 𝑦𝐣. In this question, we’re told that vector 𝐀 is equal to negative two 𝐢 plus four 𝐣. This means that our 𝑥-value is negative two and our 𝑦-value is four. Vector 𝐀 written in Cartesian coordinates is equal to negative two, four.