Question

If ā =i+j+k, c =j-k, then find vector b
such that āxb=c and ā.b=3​

Answer 1

Answer:

what type of problem is this

Step-by-step explanation:

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Answer 2

Answer:

Letb=xi+yj+zk

Now

a.b=x+y+z=3

Now a×b=(i+j+k)(xi+yj+zk)

=(z−y)i+(x−z)j+(y−x)k=j−k

Now z.y=0 hence k=y

Now x−z=1 and y−x=−1

Now

x+y+z=3

1+z+z+z=3

z=

3

2

Hence y=

3

2

x=

3

5

Now

b

=

3

(5i+2j+2k)