Unformatted text preview: aircraft intercept. As shown below, ship A is located at (4, 0, 0), whereas ship B is located at (0, 5, 0). All coordinates are given in thousands of feet. Ship A locates the submarine in the direction of the vector 2 i +3 j-1 3 k , and ship B locates it in the direction of the vector 18 i-6 j-k . Four minutes ago, the submarine was located at p 2 ,-1 ,-1 3 P . The aircraft is due in 20 min. Assuming that the submarine moves in a straight line at a constant speed, to what position should the surface ships direct the aircraft? 6. Find the equation of the plane containing the point (2 ,-4 ,-5) that satis±es each condition: (a) Parallel to the xz-plane. (b) Perpendicular to the line x = t-1 , y = 2 t + 3 , z = 4 + t . (c) Containing the line x = t-1 , y = 2 t + 3 , z = 4 + t ....
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- Spring '08
- Calculus, Parametric equation, surface ships