Section: Module 7: Lesson 2: Operations on Vectors | Intro to Algebra & Trigonometry | NextGenU.org

  • Student Learning Outcomes:
    Upon completion of this lesson, you will be able to:
    • Perform vector addition, subtraction using the graphical method.
    • Perform vector addition and subtraction using the analytic method.
    • Using vector addition and scalar multiplication to find a new vector.
    • Find the magnitude and direction of a resultant vector analytically.
    • Find the component form of a vector.
    • Find the unit vector.
    • Write a vector whose magnitude and direction are given, in terms of the unit vectors.
    • Apply what we learned about vectors to a real world problem.

    Approximate time required for the readings for this lesson (at 144 words/minute): 7 hours and 20 minutes.

    Click here to start this lesson

    • Students must
      Mark as done

      Required Learning Resources and Activities

    • url icon
      Section 5.1 Physics URL
      Students must
      View

      Read Section 5.1: Vector Addition and Subtraction - Graphical Methods. (20 minutes)

      2020

    • url icon
      Section 10.8: Algebra and Trigonometry URL
      Students must
      View

      Read Section 10.8.3: Performing Vector Addition and Scalar Multiplication - Pages 1183-1186. (25 minutes)

      OpenStax, Rice University - 2015

    • url icon
      Section 10.8: Algebra and Trigonometry URL
      Students must
      View

      Read Section 10.8.4: Finding the Components of a Vector; and 10.8.5: Finding the Unit Vector; Pages 1185-1192. (15 minutes)

      OpenStax, Rice University - 2015

    • forum icon
      Discussion Forum 7: Finding the Resultant Vector (50 minutes)
      Students must
      View
      Start discussions: 1

      In this activity, you will study and solve a case problem below.

      Step 1. Review

      Review the learning resources for this lesson before studying the case problem.

      Step 2. Analyze

      Analyze the case problem below.

      Three forces of 60 pounds (red vector), 90 pounds (green vector), and 100 pounds (blue vector) are acting at the origin at angles of 0 degrees, 40 degrees, and 65 degrees, respectively, with the positive x-axis.

      What is the magnitude and direction of the resultant of these three forces?

      Step 3. Respond

      Respond to the case problem by showing all the steps you take to solve this problem, and the theorems, properties, or laws you used to enable you to move from step to step in the solution.

      Step 4. Share

      To share your work, click on the “Add a new discussion topic” button under this post and paste your work in the “Message” box. Make sure to reference others’ intellectual property when necessary. All references should follow 7th Edition APA formatting. For further instructions, see the resource on the Himmelfarb Health Sciences Library: APA citation resource (N.B. references are excluded from word counts).

      Step 5: Interact

      To complete the activity, you will need to reply to at least two posts made by your peers in a respectful and professional manner. Ensure that your post engages your peers' ideas by including a reflection on their comments, sharing ideas of other potential difficulties and parties involved, or asking thought-provoking questions. If peer comments on your posting, please reply. To post a reply, click “Reply” on a particular discussion, write your feedback and then click on “post to the forum.”

      OPTIONAL Step 6: Interact (10 minutes)

      If you would like to, you can reply to your peers' posts in a respectful and professional manner. Ensure that your post engages your peers' ideas by including a reflection on their comments, sharing ideas of other potential difficulties and parties involved, or asking thought-provoking questions. If a peer comments on your posting, please reply. To post a reply, click “Reply” on a particular discussion, write your feedback and then click on “Post to forum.”