Question Video: Subtracting Vectors Mathematics • 12th Grade

Given the vectors 𝐀𝐁 = 3𝐒 βˆ’ 4𝐣 and 𝐂𝐃 = βˆ’5𝐒 βˆ’ 5𝐣, calculate 𝐀𝐁 βˆ’ 𝐂𝐃.


Video Transcript

Given the vectors 𝐀𝐁 is equal to three 𝐒 minus four 𝐣 and 𝐂𝐃 is equal to negative five 𝐒 minus five 𝐣, calculate vector 𝐀𝐁 minus vector 𝐂𝐃.

In this question, we need to subtract the vector negative five 𝐒 minus five 𝐣 from three 𝐒 minus four 𝐣. We do this by subtracting the corresponding components. Three 𝐒 minus negative five 𝐒 is the same as three 𝐒 plus five 𝐒, which gives us eight 𝐒. 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 𝐒 plus 𝐣.

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