7. Find a unit vector perpendiclar to the plane determined by the points P(1, -1, 2),
Q(2,0, -1) and R(0, 2, 1).
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Step-by-step explanation:
Firstly assume 't' be the foot of perpendicular of 'a'.
Let plane be r•n=d , where 'n' is the normal vector of plane.
Write the equation of line passing through 'a' and perpendicular to 'n' r=a+β(n) ,where 'β' is any varing constant.
Find point of intersection of plane and line (ie; find β then put its value in line to get the required point)
The point will be the required feet of perpendicular
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