Show that the equation ax+by+d=0 represe...

Show that the equation `ax+by+d=0` represents a plane parallel to the z-axis. Hence find the equation of plane parallel to the z-axis and passing through the points (-4,7,6) and(2,-3,1). Also convert to vector form.

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The correct Answer is:

`5x+3y-1=0; vecr*(5hati+3hatj)=1`

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