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In Exercises 19-22, verify that (u X v) w (v X w)u = (w X u) v and find the volume of the parallelepiped

 

In Exercises 19-22, verify that (u X v) w (v X w)u = (w X u) v and find the volume of the parallelepiped (box) deter- mined by u, v, and w. V 19. 21 2j 2k -i + 2j - k i+ 2k 20. i-j+k 21 +j- 2k 21. 21 +j 21 - j+ k 22. i + j - 2k -i-k 21 + 4j- 2k

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