1. 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

2. 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

3. 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

4. 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

5. 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