- #1
ronho1234
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(a) Find the equation of the plane p which passes through the three points
(A 1,0,1), B(2,−1,1) .and C(0,3,2) .
(b) Find a scalar parametric form of the equation for the line which passes
through the point D(−1,1,1) and which is perpendicular to the plane p.
(c) Let E be the point where the line intersects the plane p. Find, in the
scalar parametric equation for the line, the value of the parameter which
corresponds to the point E and hence find the co-ordinates of this point.
(d) What is the closest distance of the point D from the plane p?
i've done most of the question but I'm not quite sure I've got the right answer. And i don't understand what it means by scalar parametric form in part b, does the question just want me to write it as three separate linear equations?
(A 1,0,1), B(2,−1,1) .and C(0,3,2) .
(b) Find a scalar parametric form of the equation for the line which passes
through the point D(−1,1,1) and which is perpendicular to the plane p.
(c) Let E be the point where the line intersects the plane p. Find, in the
scalar parametric equation for the line, the value of the parameter which
corresponds to the point E and hence find the co-ordinates of this point.
(d) What is the closest distance of the point D from the plane p?
i've done most of the question but I'm not quite sure I've got the right answer. And i don't understand what it means by scalar parametric form in part b, does the question just want me to write it as three separate linear equations?