Final answer:
To find the area of the triangle, we can use the formula Area = 1/2 * base * height. To find a unit vector perpendicular to the plane, we can use the cross product of two vectors in the plane and normalize the result.
Step-by-step explanation:
To find the area of a triangle determined by the points P, Q, and R, we can use the formula:
Area = 1/2 * base * height
Since we have three points, we need to find the lengths of the sides of the triangle. Once we have the lengths of the sides, we can use Heron's formula to calculate the area.
To find a unit vector perpendicular to plane PQR, we can use the cross product of two vectors that lie in the plane. The cross product of two vectors will give us a vector that is perpendicular to both of them. We can then normalize this vector to get a unit vector.