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Operations on vectors

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Operations on vectors

  1. 1. GRAPHICAL METHOD Scale: 1cm = 100m
  2. 2. SAME DIRECTION Addition 1. Chacha walks 300m East, stops to rest and then continues 400 m East. ๐‘‘1 = 300 ๐‘š ๐ธ ๐‘‘2 = 400 ๐‘š ๐ธ Adding the two vectors we have 300mE + 400 m E = 700 m E ๐’… ๐’“ = ๐Ÿ•๐ŸŽ๐ŸŽ ๐ฆ ๐„
  3. 3. Subtraction 2. Mimi walks home from school 300 m East and remembers that she has to bring home her Science book which a classmate borrowed. She walks back 500 m West to her classmateโ€™s house. OPPOSITE DIRECTION ๐‘‘1 = 300 ๐‘š ๐ธ ๐‘‘2 = 500 ๐‘š ๐‘Š Since it has two dimensions, the vectors will be subtracted. Answer: 500 m W โ€“ 300 m E = 200m W ๐’… ๐’“ = ๐Ÿ๐ŸŽ๐ŸŽ ๐ฆ ๐–
  4. 4. PARALLELOGRAM METHOD 3. Kate walks 500 m East and then turns to North and walks 300 m. ๐Ÿ‘๐Ÿ ๐ŸŽ ๐‘‘1 = 500 ๐‘š ๐ธ ๐‘‘2 = 300 ๐‘š ๐‘
  5. 5. POLYGON METHOD 4. Gino walks 600m East, then turns 400 m North and finally walks 300 m West. ๐Ÿ“๐Ÿ’ ๐ŸŽ ๐‘‘2 = 400 ๐‘š ๐‘ ๐‘‘3 = 300 ๐‘š ๐‘Š ๐‘‘1 = 600 ๐‘š ๐ธ
  6. 6. PRACTICE EXERCISE 1. Tracy walks from her home 100 ft West and then when she reached the store, she noticed that her wallet was lost. She walked back to the East and then find her wallet on the road at exactly 50 ft away from the store. Find the resultant vector. 2. A car moves 100 km North, then turns 200 km West. What is the total displacement of the car? 3. A hiker walks 50 m East, then 200m South and finally, 400 m West. What is the resultant displacement of the hiker from the starting point? SCALE: 1cm = 50 units
  7. 7. END

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