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”

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Presentation transcript:

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. Find the component form of the vector

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

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