Pure Mathematics
Statistics

Unit 13.2 Worked Example 3

(i)

Find the exact shortest distance of the point [latex]A\left( 3,1,-2 \right)[/latex] to the plane [latex]{{p}_{1}}:x-3y+2z=-5[/latex].

(ii)

Find the coordinates of foot of perpendicular of point [latex]B\left( 7,4,-5 \right)[/latex] to plane [latex]{{p}_{1}}:x-3y+2z=-5[/latex].

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