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Warm Up

Warm Up. 1) Draw a vector 2) Vectors are defined by their ____________and ___________. Finish Test. Vectors. You CAN Move them Describe them by their magnitude and direction Magnitude means length or strength Break them into x and y components, and use those to describe them

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Warm Up

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  1. Warm Up • 1) Draw a vector • 2) Vectors are defined by their ____________and ___________.

  2. Finish Test

  3. Vectors • You CAN • Move them • Describe them by their magnitude and direction • Magnitude means length or strength • Break them into x and y components, and use those to describe them • Use Trig to find components • Think of them as the hypotenuse of a right triangle. • One leg, parallel to x axis is x component • One leg, parallel to y axis is y component • Add (and Subtract) them

  4. Vectors • You CANNOT • Turn them (change their direction) • Make them longer or shorter

  5. A Vector Tip Magnitude Direction Tail

  6. Labeling Vectors • Write the name of the vector with an arrow over it. • We can also write the name of the vector in bold font

  7. Adding Vectors • When we add vectors we add them “Tail to tip” • For instance if A + B = C then we take vectors A and B and we move one so that its tail is touching the tip of the other. To get the answer (Vector C) we draw a new vector from the tail of the first vector to the tip of the second vector

  8. B A A + B See? Tail to Tip A + B = C C This is the answer

  9. Moodle • Respond to the prompt in the forum for this week. • Read the prompt for next week. This is homework. Due Nov. 14

  10. Components This vector is 4 units long. X component = 4 Y component = 0 This vector is 3 units long. X component = 0 Y component = 3

  11. Components Vector C 5 36.87° The x component is the side along the x axis. This is adjacent to the angle. We will use cos to find its length Magnitude of Cx = Length of C, Times the cosine of the angle or Cx = C * cos 36.87 Cx =5 * cos 36.87 Cx = 4 This is Cx, the x component of C.

  12. Components Vector C 5 36.87° The y component is the side along the y axis. This is adjacent to the angle. We will use sin to find its length Magnitude of Cy = Length of C, Times the sine of the angle or Cy = C * sin 36.87 Cy =5 * sin 36.87 Cx = 3 Cy This is Cy, the y component of C.

  13. Components • So vector C has • X component = 4 • Y component = 3 • Overall (or net) magnitude of 5 • Notice that the components and magnitude obey the Pythagorean theorem

  14. Warm Up Vector F has a magnitude of 10 and a direction of 53.2 degrees above the x axis. • A) Draw F. • B) Find the x component of F. • C) Find the y component of F

  15. Notebook • Page 1 - 3 -Table of contents • Page 4 - 7 - warm ups • Page 7 - 14 - Notes • Page 14 - 17 -Personal Physics Demons • Page 18 - 30 - Practice Problems • Page 31 - 50 - Homework

  16. Adding vectors using components • If we are adding two vectors, find the x and y components of each one. • Add the x components up (direction matters!) • What you get is the x component of the resultant • Add the y components up • What you get is the y component of the resultant

  17. Adding vectors using components • Use the components you found to make the resultant Vector

  18. Homework • Pg 65 (Q 5-8; P 4, 5, 7-9a) • P10

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