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What is meant by the components of a vector?

y. A. . x. What is meant by the components of a vector?. A y. A X. How do we construct the components?. v. Vertical. Horizontal. Resolving a vector into its horizontal and vertical components Example: A ball is thrown into the air at 50 m/s at an angle 60 degrees. . link. link.

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What is meant by the components of a vector?

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  1. y A  x What is meant by the components of a vector? Ay AX

  2. How do we construct the components?

  3. v Vertical Horizontal • Resolving a vector into its horizontal and vertical components • Example: A ball is thrown into the air at 50 m/s at an angle 60 degrees. 

  4. link

  5. link A vector may be composed of its x- and y-components as shown.

  6. F = 316 N,  = 350

  7. F = 316 N,  = 350

  8. Find the horizontal (x) and vertical (y) components of the 11 unit vector at an angle  = 600.

  9. Find the horizontal (x) and vertical (y) components of the 11 unit vector at an angle  = 600.

  10. Find the horizontal (x) and vertical (y) components of the 79 unit vector at an angle  = 1400.

  11. Find the horizontal (x) and vertical (y) components of the 79 unit vector at an angle  = 1400.

  12. GENERAL RULE Note:  is always measured counterclockwise from the positive x-axis

  13. Chart shows the signs of the components in each quadrant

  14. Components can be either Positive or Negative Signs

  15. A Ay 60o Ax A runner traveled 457m on a straight line 60 degrees North of East. What are the east and north components of the runners displacement? N E

  16. Summary: The x- and y-components of a vector: The magnitude of a vector: The angle q between vector and x-axis:

  17. Adding vectors by the component method • Steps: • resolve each vector to its x- and y- components. • Add the x- components together to form the x- resultant • Add the y- components together to form the y- resultant. • Afterwards, use the Pythagorean theorem to find the R. • Use the tan function to find the angle of the resultant

  18. Addition of Vectors using Components link

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