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## Homework Statement

c = 10i+2j-3k = p + q

Calculate p and q where the vector p is parallel and q is perpendicular to the following plane:

2x+3y-z=4

## Homework Equations

a[itex]\bullet[/itex]b= axbx+ayby+azbz

## The Attempt at a Solution

I know that because p is perpendicular to q the dot product between these two vectors should be zero. Also a vector parallel to the plane above is one which satisfies to equation of the plane and any vector perpendicular to the plane is a scalar multiple of the vector:

2x+3y-z