Adding and subtracting vectors in component form

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Intros
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Examples
Lessons
  1. Given the vectors v=\vec{v}=<4,34,-3>, w=\vec{w}=<1,9-1,9> and t=\vec{t}=<2,52,5>,
    1. find v+v\vec{v}+\vec{v}
    2. find v+w\vec{v}+\vec{w}
    3. find 5v+2w+3t5\vec{v}+2\vec{w}+3\vec{t}
  2. Given the vectors v=\vec{v}=<5,55,5>, w=\vec{w}=<2,3-2,-3> and t=\vec{t}=<4,74,-7>,
    1. find vv\vec{v}-\vec{v}
    2. find vw\vec{v}-\vec{w}
    3. find 2vt3w2\vec{v}-\vec{t}-3\vec{w}

  3. Add and subtract vectors in component form
    1. find p+q\vec{p}+\vec{q} graphically and algebraically
    2. find 2q+p2\vec{q}+\vec{p} graphically and algebraically

  4. Adding and subtracting vectors in component form
    1. find pq\vec{p}-\vec{q} graphically and algebraically
    2. find q12p\vec{q}-\frac{1}{2} \vec{p} graphically and algebraically

  5. Addition and subtraction of vectors in component form
    1. find ab+c\vec{a}-\vec{b}+\vec{c} algebraically and graphically
    2. find 3ac+b3\vec{a}-\vec{c}+\vec{b} algebraically and graphically
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Topic Notes
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In this section, we will learn how to find the sum, as well as the difference between vectors algebraically and graphically. We will do so with two methods – the "Tip To Tail" method, and the "parallelogram method.