- #1

guyvsdcsniper

- 264

- 37

- Homework Statement
- Prove that if v(t) is any vector that depends on time, but v(t) has constant magnitude, then

v˙(t) is orthogonal to v(t)

- Relevant Equations
- Dot Product

I feel like this question is very straight forward and my explanation below summarizes the answer pretty well. Could someone confirm this or tell me if I am missing something?

We have

If I dot product these to values, the product is then 0. And it is known that when the dot product between two vectors is zero, they are orthogonal.

We have

**V**which is a vector, but the question states it is a constant. If I take the derivative of**V**, represented by**V'**, a constant, then I get 0.If I dot product these to values, the product is then 0. And it is known that when the dot product between two vectors is zero, they are orthogonal.