PW9 1300.pdf - MATH 1300 Problem Workshop 9 1 Find the...

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MATH 1300 Problem Workshop 91. Find the volume of the parallelepiped determined by the vectors~u= (0,2,-3),~v=(0,2,2), ~w= (-1,2,4).2. Show that the vectors~u= (2,1,-1),~v= (0,1,3), ~w= (1,2,4) all lie in the same plane.3. Find the equation of the plane throught the point (1,2,3) and perpendicular to thevector (-1,2,-3).4. Find the equation of the plane throught the points (1,2,-3),(0,2,1) and (-1,0,0).5. Find the equation of the plane containing the linesx= 1 +t, y= 2-t, z=tandx= 2 +s, y= 1 + 2s, z= 1-s.6. Find parametric equations of the line of intersection between the planes2x+ 3y+ 4z= 5 and

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