The conversation between human and AI assistant.
How do I prove that two vectors are parallel or not? Explain with an example.
Can you give me an example?
Sure, let's say we have two vectors: u = (2, 4) and v = (4, 8). The dot product of u and v is 2*4 + 4*8 = 32. The product of their magnitudes is √(2^2 + 4^2) * √(4^2 + 8^2) = 20. If we compare the two values, we see that they are not equal. Therefore, u and v are not parallel.