Question

if axbxc=a+b/c find (axbxc)xaxb.......... how to solve if answer is 1?

Answer 1

Answer:

Step-by-step explanation:

Originally Answered: How do I prove that (A X (B X C)) = B(A.C)-C(A.B) ?

If you want to get proof of this question in an easy way then you may try the method given below.

take

A= Ax i+Ay j+Az k

B= Bx i+By j+Bz k

C= Cx i+Cy j+Cz k

Now start with either L HS or R HS

Lets start with L.H.S

L.H.S = (A x(B x C))

First we will solve for (B x C)

(B x C) = ( ByCz - BzCy)i +(BzCx - BxCz)j+(BxCy - ByCx)k

Now we will solve for (A x(B x C))

(A x(B x C)) = (AyBxCy-AyByCx-AzBzCx+AzBxCz)i+(AzByCz-AzBzCy-AxBxCy+AxByCx)j+(AxBzCx-AxBxCz-AyByCz+AyBzCy)k ——-(1)

Now we will solve for R.H.S

R.H.S =B(A.C)-C(A.B)

=B.( AxCx +AyCy+AzCz )-C.(AxBx+AyBy+AzBz)

=(AyBxCy-AyByCx-AzBzCx+AzBxCz)i+(AzByCz-AzBzCy-AxBxCy+AxByCx)j+(AxBzCx-AxBxCz-AyByCz+AyBzCy)k —-(2)

Since equation 1 = equation 2

hence L.H.S =R.H.S

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Answer 2

Answer:

1

Step-by-step explanation:

a*b*c=a+b/c

(a*b*c)*a*b..........................

na+b/c

1