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Finding the Component Form a Vector

Finding the Component Form a Vector. Use the velocity vector and angle measure to find the component form of the vector as shown: V = IvIcos”i ” + IvIsin”j ” . Finding the Component Form a Vector. Example 1: A plane is flying at a bearing of 250 degrees at 150 miles per hour.

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Finding the Component Form a Vector

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  1. Finding the Component Form a Vector • Use the velocity vector and angle measure to find the component form of the vector as shown: • V = IvIcos”i” + IvIsin”j”

  2. Finding the Component Form a Vector • Example 1: • A plane is flying at a bearing of 250 degrees at 150 miles per hour. • Find the component form of the vector

  3. Using the Component Form of a Vector to Find Resultant Magnitude • Example 1 • Using Vectors to find Speed and Direction: • Airplane traveling at 500 mph at a bearing of 330 degrees • Wind is blowing at 70 mph in a direction 45 degrees NorthEast. • Find the resultant speed of the airplane. • Solution: • Find the component form of each vector (airplane and wind) • Add corresponding i and j values to find a sum vector • Find the resultant Magnitude and Direction Angle

  4. Using the Component Form of a Vector to Find Resultant Magnitude • Example 2 – Baseball Field • Ball is hit that would travel a distance of 410 feet 30 degrees to the left of straightaway center field • Wind is blowing at an adjusted distance of 30 feet 40 degrees to the right of straightaway center field • Find the resultant distance traveled by the ball

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