Heat Engines
How do you know whether to use dot product or cross product in a vector problem? a. 1. The most basic difference is whether you are looking for a scalar result or a Vector result. Dot product gives you a scalar result whereas Cross product gives you a Vector result. 2. Basically the purpose of application differs. Dot product gives you an expression for Work done whereas Cross product gives you an expression for Torque. 3. Dot product would have been maximum if both the vectors had acted in the same direction, but a Cross product = 0 if both the vectors are in the same direction. More detailed explanation is given below- A. Dot product is simply the effect of one vector on the other should it be acting in the same direction as the base vector. Assume two vectors acting on a mass in the exact opposite directions. They would nullify each other. But if they were acting on the body in the same direction, the effect of the forces would be maximum. Assume vector a = 2i and vector b = 4i (bot...
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