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Can you explain the cross multiplication in detail? I didn't see where the numbers come from. Thank you! 5. (12 pts) (a) Dr Quan is

Can you explain the cross multiplication in detail? I didn't see where the numbers come from. Thank you!

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5. (12 pts) (a) Dr Quan is vacationing in the Bahamas during the winter break, and wants to find out how quickly he is rotating in a whirlpool modeled by F(x, y, z) = (et sin(y), 23 cos?(y), (x2 + 2 + 2 2)?). He is located at the point (1, 0, 1). Find the axis and magnitude of rotation of the whirlpool at that point. Given by V X F ( 1, 0, 1 ) K VF = 2x ay a2 = (2(24 ) ( x 2 +y 2 +22) - 32 " Cos(y), 1 exsincy ) z'cos ly ) ( x 2 + y 2 +7 2 ) 2 - 2(2x) ( x2 4y2+2 2 ) - 0, 0 - excosly) > VF ( 1 , 0, 1 ) = 60 - 3( 1) cos ( 0), - 2( 2(1) ) ( 12 + 02 + 12 ) - e - cosco ) > = + Axis of rotation 1/ VF(1,0, 1)1 = 19+ 64+ p2/4 Magnitude

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