A particle moves on a given straight line with a constant speed v. At a certain time it is at a point P o its straight lline path.O is a fixed point. Show than `vec(OP)xxvec upsilon` is independent of the position P.?

Explanation

To show that \(\vec{OP} \times \vec{v}\) is independent of the position \(P\), we can follow these steps:

### Step 1: Define the vectors
Let:
- \(\vec{OP}\) be the position vector from point \(O\) (fixed point) to point \(P\) (the position of the particle).
- \(\vec{v}\) be the velocity vector of the particle, which is constant and directed along the straight line of motion.

### Step 2: Analyze the angle between vectors
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