Video Transcript
Given the two vectors 𝐀 is equal
to negative two, negative three, zero and 𝐁 is equal to negative three, three,
negative two, find vector 𝐀 plus vector 𝐁.
In order to add any two vectors in
three dimensions, we simply add their corresponding components. This means that if vector 𝐀 has
components 𝑥 one, 𝑦 one, 𝑧 one and vector 𝐁 has components 𝑥 two, 𝑦 two, 𝑧
two, then vector 𝐀 plus vector 𝐁 will have components 𝑥 one plus 𝑥 two, 𝑦 one
plus 𝑦 two, and 𝑧 one plus 𝑧 two. In this question, we add the
𝑥-components negative two and negative three. We add the 𝑦-components negative
three and positive three. Finally, we add 𝑧- or
𝑧-components zero and negative two. Negative two plus negative three is
the same as negative two minus three. This is equal to negative five. Negative three plus three is equal
to zero. Finally, zero plus negative two is
the same as zero minus two, which equals negative two.
If vector 𝐀 is equal to negative
two, negative three, zero and vector 𝐁 is equal to negative three, three, negative
two, then vector 𝐀 plus vector 𝐁 is equal to negative five, zero, negative
two.
