a) Show that the points (1,3,1) ,(1,1,-1),(-1,1,1) (2,2,-1) are lying on the same plane

b) For any vector r prove that r = (r.i)i+(r.j)j+(r.k)k

c) If a*(b*c)=(a*b)*c then prove that (c*a)*b=0

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- January 24th 2010, 12:05 PMSalman91Solve my vector Problems
a) Show that the points (1,3,1) ,(1,1,-1),(-1,1,1) (2,2,-1) are lying on the same plane

b) For any vector r prove that r = (r.i)i+(r.j)j+(r.k)k

c) If a*(b*c)=(a*b)*c then prove that (c*a)*b=0

- January 24th 2010, 12:21 PMJhevon
- January 24th 2010, 12:32 PMSalman91
* = multiply ( x )

- January 24th 2010, 12:46 PMJhevon
- January 24th 2010, 12:48 PMSalman91
yes sir it is a cross-product

and can you please show me the answer of part b (step by step) - January 24th 2010, 01:29 PMJhevon
i will just solve this one...

recall these properties from your text: , and for any vectors (of course, for cross-products we need 3-d vectors)

Note that

and

So, assume , then

Quote:

and can you please show me the answer of part b (step by step)