Ask questions and get helpful answers.

ABCDEF is a regular hexagon with sides of unit length. Find the magnitude and the direction of AB+AC+AD+AE+AF.

The textbook answer: 6, 60 degrees to AB

A full solution with steps will be greatly appreciated.
Thank you :)

  1. 👍
  2. 👎
  3. 👁
  4. ℹ️
  5. 🚩

2 answers

  1. https://answers.yahoo.com/question/index?qid=20090914114948AAF9qjv

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
  2. I put A at lower left and B a lower right.
    AB = 1 i + 0 j
    AC = (1+cos 60)i + sin 60 j
    AD = 1 i + 2 sin 60 j
    AE = 0 i + 2 sin 60 j
    AF = -cos 60 i + sin 60 j
    sum of x components = 3
    sum of y components = 6 sin 60 = 6 (sqrt3 /2) = 3 sqrt 3
    magnitude = sqrt(3^2 + 9*3) = sqrt 36 = 6 sure enough
    tan angle = sqrt 3 /1
    so angle = 60

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩

Answer this Question

Related Questions

Still need help?

You can ask a new question or browse existing questions.