بما أن المتجهات متوازية ومتعاكسة الاتجاه على نفس الخط، يمكننا استخدام مبدأ المتجهات المتعادلة ونضع معادلة للمتجهات: \[ 3t + 4t = 7t \] \[ 7t = 7t \] نلاحظ أن المعادلة صحيحة، وبالتالي القيمة \( t \) هي قيمة مقبولة. لذا اتجاه الموجات على الخط المستقيم الذي يحتوي على المتجهين \( 3t \) و \( 7t \) يكون صحيحًا.
The image appears to show a segment of a coordinate plane with two vectors and their magnitudes labeled. One vector has a magnitude of 107 units, and the other has a magnitude of 100 units. It seems that there is also a question or prompt associated with this diagram, but the question itself is not visible in the provided image. Without the actual question, I cannot provide a precise answer. If you can provide the text of the question or specify the information you are seeking, such as how to find a resultant vector or another vector-related query, I would be able to assist you accordingly.
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