Video Transcript
Given that vector π is equal to negative two π’ plus four π£, write the vector π in Cartesian coordinates.
When dealing with vectors in two dimensions, we recall that vectors π’ and π£ are unit vectors in the directions ππ₯ and ππ¦, respectively. This means that any vector π with Cartesian coordinates π₯π¦ can be written π₯π’ plus π¦π£. In this question, weβre told that vector π is equal to negative two π’ plus four π£. This means that our π₯-value is negative two and our π¦-value is four. Vector π written in Cartesian coordinates is equal to negative two, four.
