Are The Two Vectors Parallel, Orthogonal, or Neither?

Explaining The Universe on Instagram: "A complex harmonic motion is created by adding (superposing) multiple sine waves together, each with its own amplitude, frequency, and phase. Because sine waves are the most basic form of periodic motion—pure, smooth oscillations—any more complicated vibration can be built by stacking them on top of each other. This idea is called superposition and is the foundation of Fourier analysis. • #explore #reels #explaining #viral #universe #space"

Explaining The Universe on Instagram: "Sine and cosine waves are identical in shape, amplitude, and frequency, differing only by a phase shift. A sine wave starts at zero and rises, while a cosine wave starts at its maximum value. Mathematically, a cosine wave is just a sine wave shifted left by 90 degrees (π/2 radians). Because of this, the choice between sine and cosine usually depends on where the motion or signal begins in time. In physics and engineering, sine waves are often used when a sy