Video Transcript
Given the vectors 𝐀𝐁 is equal to three 𝐢 minus four 𝐣 and 𝐂𝐃 is equal to negative five 𝐢 minus five 𝐣, calculate vector 𝐀𝐁 minus vector 𝐂𝐃.
In this question, we need to subtract the vector negative five 𝐢 minus five 𝐣 from three 𝐢 minus four 𝐣. We do this by subtracting the corresponding components. Three 𝐢 minus negative five 𝐢 is the same as three 𝐢 plus five 𝐢, which gives us eight 𝐢. Negative four 𝐣 minus negative five 𝐣 is the same as negative four 𝐣 plus five 𝐣. This gives us an answer of 𝐣.
Vector 𝐀𝐁 minus vector 𝐂𝐃 is equal to eight 𝐢 plus 𝐣.