Plotting the diagram of the given value we get,

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Now direction ratio of the line $QR$ will be $\left(1+1,2-3,3+2\right)\equiv \left(2,-1,5\right)$

Now equation of plane which is passing through point $\left(-1,3,-2\right)$ with perpendicular direction ratio $\left(2,-1,5\right)$ will be given by,

$2\left(x+1\right)-1\left(y-3\right)+5\left(z+2\right)=0$

$\Rightarrow 2x-y+5z+15=0$

Now perpendicular distance of plane from origin is given by,

$D=\left|\frac{15}{\sqrt{2^2+1^2+5^2}}\right|=\frac{15}{\sqrt{30}}=\sqrt{\frac{15}{2}}$