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Given the vectors 𝐀𝐁 = 3𝐢 − 4𝐣 and 𝐂𝐃 = −5𝐢 − 5𝐣, calculate 𝐀𝐁 − 𝐂𝐃.

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.

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