Equation of a Plane Passing through a Point and Perpendicular to a Given Vector

Q.

Equation of plane passing through points given by position vectors $\overline{a}and\overline{b}$ and origin will be

1. 

2. 

3. 

4. 

Q.

Equation of plane passing through a point A given by position vector $\overline{a}$ and perpendicular to $\hat{n}is(\overline{r}-\overline{a}).\hat{n}=0$ .

1. True

2. False

Q. If A=(1, 3, -5) and B=(3, 5, -3), then the vector equation of the plane passing through the midpoint of AB and perpendicular to AB is

1. $r.(\hat{i}+\hat{j}+\hat{k})=2$
2. $r.(\hat{i}+\hat{j}-\hat{k})=2$
3. $r.(\hat{i}-\hat{j}+\hat{k})=2$
   
4. $None$