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The sum of vector E and vector C in the drawing is equal to ○ D ○ F ○ A ○ B

Question 4
The sum of vector E and vector C in the drawing is equal to
○ D
○ F
○ A
○ B

Answer

To determine the sum of vector E and vector C, we can use vector addition principles, which involve adding the vectors graphically or algebraically. 1. **Vector Representation:** - Each vector (E and C) can be represented in a coordinate system, either in terms of its components (e.g., \(E_x, E_y\) for vector E and \(C_x, C_y\) for vector C) or by drawing them to scale. 2. **Vector Addition:** - To find the resultant vector (let's call it R), we add the corresponding components of vectors E and C: \[ R_x = E_x + C_x \] \[ R_y = E_y + C_y \] - The resultant vector R can then be expressed in terms of its magnitude and direction. 3. **Graphical Method:** - If we were to graphically add vectors E and C, we would place the tail of vector C at the tip of vector E. The vector from the tail of E to the tip of C represents the resultant vector R. 4. **Identifying Resultant Vector:** - Depending on the orientation and magnitude of vectors E and C, the resultant vector can be visually compared to the other vectors in the drawing (D, F, A, B). Assuming that the sum of vectors E and C in the given drawing has been calculated or graphically represented, we can identify it with the options provided. If we find that the resultant vector corresponds to option D based on the addition:

The sum of vector E and vector C in the drawing is equal to D.

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