11 10. Find the volume of the parallelepiped determined by the following vectors:v = 2i +3j-2k, u=i-j, w= 2i+3k11. Let l,,l2,l3 be the lines X(1) = (1,1,2) + t(1,2,3), X(s)=(9,8,11)+ s(2,1,1) andX(r) = (0,0,0)+r(2,4,6) respectively.a) Do lines l, and l, intersect? If so, at what point? If not, why not? Justify youranswer.b) Do lines l, and l, intersect? If so, at what point? If not, why not? Justify youranswer.c) Does lines l, and intersect the plane x+y+z =10? If so, at what point? If not,why not? Justify your answer.12. Find the equation of plane (in standard form and point normal form) that contains

Answered: Image /qna-images/answer/04467627-1bb9-4cae-b45e-88802c3a2a1b.jpg

Let l,,l2,lz be the lines X(t) = (1,1, 2) + t(1,2,3), X(s)= (9,8,11) + s(2,1,1) and X (r) = (0,0,0) +r(2,4,6) respectively. a) Do lines l, and l, intersect? If so, at what point? If not, why not? Justify your answer. p) Do lines l, and l, intersect? If so, at what point? If not, why not? Justify your answer. ODoes lines l, and intersect the plane x+ y+z =10? If so, at what point? If not, why not? Justify your answer.