Suppose that →p,→q and →r are three non-coplanar vectors in R3. Let the components of a vector →s along →p,→q, and →r be 4,3, and 5, respectively. If the components of this vector →s along (−→p+→q+→r), (→p−→q+→r), and (−→p−→q+→r), are x,y, and z, respectively, then the value of 2x+y+z is

Suppose that →p,→q and →r are three non-coplanar vectors in R3.

1.	Suppose that →p,→q and →r are three non-coplanar vectors in R3. Let the components of a vector →s along →p,→q, and →r be 4,3, and 5, respectively. If the components of this vector →s along (−→p+→q+→r), (→p−→q+→r), and (−→p−→q+→r), are x,y, and z, respectively, then the value of 2x+y+z is
Answer» Suppose that $\to p, \to q$ and $\to r$ are three non-coplanar vectors in $R^{3} .$ Let the components of a vector $\to s$ along $\to p, \to q,$ and $\to r$ be $4, 3,$ and $5,$ respectively. If the components of this vector $\to s$ along $(- \to p + \to q + \to r),$ $(\to p - \to q + \to r),$ and $(- \to p - \to q + \to r),$ are $x, y,$ and $z,$ respectively, then the value of $2 x + y + z$ is