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An aicraft is spotted at (0,0,1)?
Given a vector in R3 to the power of 3, its angles with the coordinate axes are called directional angles. In this quiz, we denote them theta x, theta y and theta z respectively.
The quiz is related to the technology for anti-aircraft guns during the WWII era. Suppose that an enemy plane is spotted at the position (0,0,1) escaping in the direction (1,1,1) with a constant velocity 150 m/s. Suppose that the anti-aircraft gun is situated at the origin of the coordinate system. The velocity of its shells is 300 m/s. Calculate the directional angles of the gun barrel in order to shoot down the enemy's plane.
1 Answer
- ted sLv 78 years agoFavorite Answer
the vector for the plane is 150 t < 1 , 1 , 0 > while for the shell
is 300 t < cos Θ1 , cos Θ2 , cos Θ3 >....set them equal
{ π / 3 , π / 3 , π / 2 }
