127 This augmented matrix represents 3 planes (3 general equations) that intersect. 0 1 -3 12...

   

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127 This augmented matrix represents 3 planes (3 general equations) that intersect. 0 1 -3 12 |1 1 -1 8 [8 2 6. (a) Solve the equation, showing your working. (b) In (a), you found a single point P at which the 3 planes represented by an augmented matrix intersected. Find a 4th plane that contains both the point P, and the origin. Make a vector equation for your 4th plane of the form [3 marks] x = P+ sv + tw 127 This augmented matrix represents 3 planes (3 general equations) that intersect. 0 1 -3 12 |1 1 -1 8 [8 2 6. (a) Solve the equation, showing your working. (b) In (a), you found a single point P at which the 3 planes represented by an augmented matrix intersected. Find a 4th plane that contains both the point P, and the origin. Make a vector equation for your 4th plane of the form [3 marks] x = P+ sv + tw