`vecrxxveca=vecbxxveca,vecrxxvecb=vecaxxvecb,vecanevec0,vecbnevec0,vecanelambdavecb and veca` is not perpendicular to `vecb`, then find `vecr` in terms of `veca and vecb`.

Explanation

To solve the problem, we need to find the vector \(\vec{r}\) in terms of vectors \(\vec{a}\) and \(\vec{b}\) given the conditions provided. Let's break this down step by step.

### Step 1: Set Up the Given Equations
We start with the equations given in the problem:
1. \(\vec{r} \times \vec{a} = \vec{b} \times \vec{a}\)
2. \(\vec{r} \times \vec{b} = \vec{a} \times \vec{b}\)

### Step 2: Rearranging the First Equation
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