A radar station, located at the origin of xz plane, as shown in the figure (Figure 1), detects an airplane coming straight at the station from the east. At first observation (point A), the position of the airplane relative to the origin is R⃗ A. The position vector R⃗ A has a magnitude of 360 m and is located at exactly 40 degrees above the horizon. The airplane is tracked for another 123 degrees in the vertical east-west plane for 5.0 s, until it has passed directly over the station and reached point B. The position of point B relative to the origin is R⃗ B (the magnitude of R⃗ B is 880 m). The contact points are shown in the diagram, where the x axis represents the ground and the positive z direction is upward.

Define the displacement of the airplane while the radar was tracking it: R⃗ BA=R⃗ B−R⃗ AR→BA=R→B−R→A. What are the components of R⃗ BAR→BAR_vec_BA?

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Position Vector    vec(R_(A))=360 cos 40 hat(i)+360 sin 40 hat(j)=(276 hat(i)+231 hat(j))..mAngle made by Position vector vec(R_(B))   = [ 180 -  (123+40) ] = 17oPosition Vector vec(R_(B))=-880 cos 17 hat(i)+880 sin 17 hat(j)= ... See the full answer