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The following parts are not related Part (1) At what point does the line r=[10,7,5]+s[4,3,2] intersect the plane 6x+7y+10z9=0? Part (2) (a) Determine the vector

The following parts are not related

Part (1)

At what point does the line r=[10,7,5]+s[4,3,2] intersect the plane 6x+7y+10z9=0?

Part (2)

(a) Determine the vector and parametric equations of the plane that passes through the points Q(2,0,0), R(0,1,0) and S(0,0,3)

(b) Determine if the point P(1,5,6) is a point on this plane.

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