1. An airplane has a ground speed of 350km/hr in the direction due west. If there is a wind blowing northwest at 40km/hr, calculate the true airspeed and heading of the airplane. 2. Given vectors A= 3ax + 4ay+ az and B= 2ay - 5az, find the angle between A and B. 3. Let E= 3ay + 4az and F= 4ax - 10ay+ 5az • a. Find the component of E along F . b. Determine a unit vector perpendicular to both E and F

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1. An airplane has a ground speed of 350km/hr in the direction due west. If there is a wind blowing northwest at 40km/hr,
calculate the true airspeed and heading of the airplane.
2. Given vectors A= 3ax + 4ay+ az and B= 2ay - 5az, find the angle between A and B.
3. Let E= 3ay + 4az and F= 4ax - 10ay+ 5az
• a. Find the component of E along F
. b. Determine a unit vector perpendicular to both E and F
Transcribed Image Text:1. An airplane has a ground speed of 350km/hr in the direction due west. If there is a wind blowing northwest at 40km/hr, calculate the true airspeed and heading of the airplane. 2. Given vectors A= 3ax + 4ay+ az and B= 2ay - 5az, find the angle between A and B. 3. Let E= 3ay + 4az and F= 4ax - 10ay+ 5az • a. Find the component of E along F . b. Determine a unit vector perpendicular to both E and F
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