Questions asked by TreeReader

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• If A and B are 2x2 matrices with det(A)=3 and det(B)=2, what is det((3A^-1)(B^T))?
  
• If ||u|| = 3, what's the inner product #u*u#?
  
• How do I find the point-normal form of the equation of the plane containing the point (-3,-4,3) and perpendicular to (4,1,-2)?
  
• What are the scalar equations of the equation of the line through the point (4,-6,-3) and perpendicular to the plane 5 x+y+2 z=7? Also I have to write the answer in the form [a+b*s, c+d*s, e+f*s] where s is a parameter.