First, you find the dot product of the two vectors, then divide by the magnitude of the vector you're projecting onto. You'll multiply that scalar by the unit vector in that direction. Just yesterday, I was breaking down the force of a monsoon wind on a tilted palm frond in a problem—finding exactly how much pushes it sideways versus bends it over. It feels less like abstract math and more like figuring out which part of the rain will actually hit my balcony plants.
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