If r=hat(i)+hat(j)+lambda(2hat(i)+hat(j)...

If `r=hat(i)+hat(j)+lambda(2hat(i)+hat(j)+4hat(k)) and r*(hat(i)+2hat(j)-hat(k)=3` are equations of a line and a plane respectively, then which of the following is incorrect?

line is perpendicular to the plane

line lies in the plane

line is parallel to the plane

line cuts the plane obliquely

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