Question Video: Expressing a Vector in Cartesian Coordinates | Nagwa Question Video: Expressing a Vector in Cartesian Coordinates | Nagwa

Question Video: Expressing a Vector in Cartesian Coordinates Mathematics

Given that vector 𝐀 = 2𝐢, write the vector 𝐀 in Cartesian coordinates.

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Video Transcript

Given that vector 𝐀 is equal to two 𝐢, write the vector 𝐀 in Cartesian coordinates.

When dealing with vectors in two dimensions, the vectors 𝐢 and 𝐣 are unit vectors in the directions 𝑜𝑥 and 𝑜𝑦, respectively. This means that if we have a 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 two 𝐢. This means that 𝑥 is equal to two and 𝑦 is equal to zero as there is no 𝐣-component. Vector 𝐀 written in Cartesian coordinates is equal to two, zero.

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