8. Show that (a) i=- (b) j= (c) k= jxk i.jxk kxi i.jxk ixj i.jxk 9. Find the vector triple product of vectors u, v and w. u=(2,-1,3), v = (0,1,7), w = (1,4,5) (a) ux(vxw) (b) (uxv) xw Conclude the result for 9(a) and 9(b). 10. Find the area of parallelogram that has u and v as adjacent sides. u=i-j+2k, v=3j+k

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 20CM
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Question
8. Show that
(a) i=
(b) j=
(c) K =
k
jxk
i.jxk
kxi
i.jxk
ixj
i.j×k
9. Find the vector triple product of vectors u, v and w.
u=(2,-1,3), v = (0,1,7), w =
, w = (1,4,5)
(a) ux(vxw)
(b) (uxv) xw
Conclude the result for 9(a) and 9(b).
10. Find the area of parallelogram that has u and v as adjacent sides.
u=i-j+2k, v=3j+k
Transcribed Image Text:8. Show that (a) i= (b) j= (c) K = k jxk i.jxk kxi i.jxk ixj i.j×k 9. Find the vector triple product of vectors u, v and w. u=(2,-1,3), v = (0,1,7), w = , w = (1,4,5) (a) ux(vxw) (b) (uxv) xw Conclude the result for 9(a) and 9(b). 10. Find the area of parallelogram that has u and v as adjacent sides. u=i-j+2k, v=3j+k
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