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Question

If ¯OA=3^i+^j2^k and ¯OB=5^i+4^j^k then find the value of ¯AB

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Solution

To find the value of AB
If OA=3ˆi+ˆj2ˆk , OB=5ˆi+4ˆjˆk

Since , AB=OBOA

AB=[5ˆi+4ˆjˆk][3ˆi+ˆj2ˆk]

AB=5ˆi+4ˆjˆk3ˆiˆj+2ˆk

AB=2ˆi+3ˆj+ˆk
Hence ,
AB=2ˆi+3ˆj+ˆk


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