5. Which of the following statements is TRUE? The cosine of the direction angles will always produce the components of the force vector. The cosine of the direction angles will always produce the components of the force vector. The magnitude of the resultant vector is equal to the sum of the squares of its components. The y-component of the resultant force is always equal to the sum of the y-components of the unit vectors of the forces being added. The cosine of the direction angles will always produce the components of the unit vector.

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The following figure and situation are to be used for questions 1 to 4.
An object, attached at the origin, point O, is being pulled by three ropes, A, B, and C, as shown in the figure. The tension produced in these
ropes are as follows:
TOA: 1 500 N, along the x-y plane, 36.9" from the positive x-axis, and 53.1 from the positive y-axis
ToB: -800i +800j+400k N
Toc: 1 697 N, pointing towards (-1,1,-4)
N
B
y
0
C (-1,1,-4)
36.9°
A
Transcribed Image Text:The following figure and situation are to be used for questions 1 to 4. An object, attached at the origin, point O, is being pulled by three ropes, A, B, and C, as shown in the figure. The tension produced in these ropes are as follows: TOA: 1 500 N, along the x-y plane, 36.9" from the positive x-axis, and 53.1 from the positive y-axis ToB: -800i +800j+400k N Toc: 1 697 N, pointing towards (-1,1,-4) N B y 0 C (-1,1,-4) 36.9° A
4. Which of the following is closest to the resultant of the three forces, OA, OB, and OC?
5. Which of the following statements is TRUE?
The cosine of the direction angles will always produce the components of the force vector.
The cosine of the direction angles will always produce the components of the force vector.
The magnitude of the resultant vector is equal to the sum of the squares of its components.
The y-component of the resultant force is always equal to the sum of the y-components of the unit vectors of the forces being added.
The cosine of the direction angles will always produce the components of the unit vector.
Transcribed Image Text:4. Which of the following is closest to the resultant of the three forces, OA, OB, and OC? 5. Which of the following statements is TRUE? The cosine of the direction angles will always produce the components of the force vector. The cosine of the direction angles will always produce the components of the force vector. The magnitude of the resultant vector is equal to the sum of the squares of its components. The y-component of the resultant force is always equal to the sum of the y-components of the unit vectors of the forces being added. The cosine of the direction angles will always produce the components of the unit vector.
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