Equation of a plane from the foot of the perpendicular from the origin

1. A.
   $\vec{r}\cdot(2\hat{i}+\hat{j}-2\hat{k})=9$
2. B.
   $\vec{r}\cdot(-2\hat{i}-\hat{j}-2\hat{k})=7$
3. C.
   $\vec{r}\cdot(2\hat{i}-\hat{j}-2\hat{k})=9$
4. D.
   $\vec{r}\cdot(2\hat{i}-\hat{j}-\hat{k})=7$

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1. A.
   $4x-2y+5z=45$
2. B.
   $-4x+2y+5z=45$
3. C.
   $4x-2y+5z+45=0$
4. D.
   $4x+2y+5z+45=0$

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1. A.
   $x + y - 2z + 6 = 0$
2. B.
   $\ 2x + y + z + 1 = 0$
3. C.
   $x + y + 2z - 2 = 0$
4. D.
   $x - y - z + 2 = 0$

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1. A.
   $\vec{r} \cdot (4\hat{i} + 5\hat{j} - 2\sqrt{2}\hat{k}) = 49$
2. B.
   $\vec{r} \cdot (4\hat{i} + 5\hat{j} + 2\sqrt{2}\hat{k}) = 49$
3. C.
   $\vec{r} \cdot (4\hat{i} - 5\hat{j} + 2\sqrt{2}\hat{k}) = 49$
4. D.
   $\vec{r} \cdot (4\hat{i} + 5\hat{j} + 2\sqrt{2}\hat{k}) = 40$

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