Video: Finding the Components of the Sum of Two Vectors in Component Form

Given that 𝐮 = ⟨2, −4⟩ and 𝐯 = ⟨−2, 4⟩, find the components of 𝐮 + 𝐯.

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Video Transcript

Given that vector 𝐮 is equal to two, negative four and vector 𝐯 is equal to negative two, four, find the components of vector 𝐮 plus vector 𝐯.

We know that in order to add two vectors, we simply add their corresponding components. In this question, we need to add two and negative two and then negative four and four. Two plus negative two is the same as two minus two, which gives us an answer of zero. Negative four plus four is also equal to zero.

If vector 𝐮 is equal to two, negative four and vector 𝐯 is equal to negative two, four, then vector 𝐮 plus vector 𝐯 is equal to zero, zero, otherwise known as the zero vector.

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