If a rotation quaternion is [0.866, 0.162, 0.382, 0.279], which of the following quaternions describe the same angular displacement? O [-0.866, -0.162, -0.382, -0.279] O [-0.162,-0.382, -0.279] O [0.866, -0.162,-0.382, -0.279] O [-0.866, 0.162, 0.382, 0.279]

1. The cross winds hitting the plane due east is given by the formula as follows. 20 sin 2wt + 30 sin (3wt +) mph The driving wind (to a runway laying due North), directly behind the aircraft is given by the following formula. 10 cos wt - 30 cos (wt+ +7) mph If the course heading of the aircraft is due north, what is its resultant heading? Using vectors, plot the change required in course heading, and help the crew land the plane. You can ignore airspeed, turbulence etc... In addition, using software Model the combination of sine waves graphically and draw the graphical resultants of the waveforms and hence perform a graphical analysis as a comparison between your calculated results and what you have drawn.

Look at AB on the coordinate plane. State the coordinates of B' after a 90-degree counterclockwise rotation about the origin.   A) (-3, -4) B) (3, 4) C) (-4, -3) D) (4, 3)

The following question is from linear algebra Given is V: 2x1 + 2x2 - x3 = 5 and W: x1 - x3 = 0. Determine, independently of each other, the parametric equation of the plane perpendicular to V and W passing through the point (1, 2, 2) go.