Find the cross product {image} . {image} . 1. {image} 2. 3. 4. 5. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

Find {image} correct to three decimal places where {image} . 3.441 35.973 44.234 30.973 5.162 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

Use the scalar triple product to identify the coplanar vector(s) below Use the scalar triple product to identify the coplanar vector(s) below. Select the correct answer(s). 1. {image} None of these 2. 3. 4. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

A wrench 20 cm long lies along the positive y - axis and grips a bolt at the origin. A force is applied in the direction {image} at the end of the wrench. Find the magnitude of the force needed to supply 60 J of torque to the bolt. F=228N F=843N F=158N F 949N F =316N 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

Let P be a point not on the plane that passes through the points Q, R, and S. Use the formula for the distance d to the plane {image} where {image} to find the distance from the point P ( -1, 4, 3 ) to the plane through the points Q ( -1, -2, 3 ), R ( 3, -3, 1 ) and S ( -3, -1, 2 ). d = 8.9 d = 5.5 d = 13.7 d = 5.6 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50