Three dogs are pulling on a stick in different directions as shown in the figure. The first dog pulls with force F1 = 10i −20.4j + 2k N. The second dog pulls with force F2 = −15i − 6.2k N. The third dog pulls with force F3 = 5i + 12.5j N. a) What is the angle between F1 and F2? b) Find the point-normal equation of the plane containing F2 and F3 and the point P(1, 1, 1). c) Find the distance between the point P(1, 2, −3) and the plane in (b).

Three dogs are pulling on a stick in different directions as shown in the figure. The first dog pulls with force F1 = 10i −20.4j + 2k N. The second dog pulls with force F2 = −15i − 6.2k N. The third dog pulls with force F3 = 5i + 12.5j N. a) What is the angle between F1 and F2? b) Find the point-normal equation of the plane containing F2 and F3 and the point P(1, 1, 1). c) Find the distance between the point P(1, 2, −3) and the plane in (b).

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Three dogs are pulling on a stick in different directions as shown in the figure. The first dog pulls with force F ¯ 1 = 10 i ¯ 20.4 j ¯ + 2 k ¯ N . The second dog pulls with force F ¯ 2 = 15 i ¯ 6.2 k ¯ N . The third dog pulls with force F ¯ 3 = 5 i ¯ + 12.5 j ¯ N . a) What is the angle between F ¯ 1 and F ¯ 2 ? b) Find the point-normal equation of the plane containing F ¯ 2 and F ¯ 3 and the point P ( 1 , 1 , 1 ) . c) Find the distance between the point P ( 1 , 2 , 3 ) and th eplane in (b).

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