3. Also, please make sure to define the variables so that I can understand and explain to me what the problem is about. **Vector Component Analysis on a 3D Coordinate System**In this diagram, two force vectors are represented in a 3D coordinate system with axes \(x\), \(y\), and \(z\). The first force vector is labeled as \(800 \, \text{N}\) and points along the negative \(y\)-axis. The angle between this vector and the \(z\)-axis is \(70^\circ\). The second force vector is \(P\), which is given as \(535 \, \text{N}\). It is oriented at \(40^\circ\) from the \(y\)-axis and \(30^\circ\) from the \(x\)-axis. The angle between the vector \(P\) and the \(z\)-axis is \(25^\circ\).### ObjectiveThe task is to determine the \(x\), \(y\), and \(z\) components of the \(535 \, \text{N}\) force vector \(P\).### Analysis Process1. **Vector Decomposition:** - To find the component along each axis, use the following formulas: - \( P_x = P \cdot \cos(\theta_x) \) - \( P_y = P \cdot \cos(\theta_y) \) - \( P_z = P \cdot \cos(\theta_z) \)2. **Applying the Given Angles:** - For vector \(P\) with respect to the axes: - **\(x\)-axis**: The angle with \(x\) is \(30^\circ\). - **\(y\)-axis**: The angle with \(y\) is \(40^\circ\). - **\(z\)-axis**: The angle with \(z\) is \(25^\circ\).### CalculationAccording to the provided diagram on an educational context, detailed calculations would follow based on trigonometric relationships defined above.### Result BoxesPlace your calculated components in the boxes below:- The \(x\) component of the \(535\)-N force is \(\_\_\_\_\_\_\_\) N.- The \(y\) component of the \(535\)-N force is \(\_\_\_\_\_\_\_\) N.- The \(z\) component of the \(535\)-N force is \(\_\

Name: 3. Also, please make sure to define the variables so that I can unders
Uploaded: 2024-03-20T06:56:46.000Z
Channel: Bartleby
Description: 3. Also, please make sure to define the variables so that I can understand and explain to me what the problem is about. **Vector Component Analysis on a 3D Coordinate System**In this diagram, two force vectors are represented in a 3D coordinate syste