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Vector Algebra

If a=ˆi+ˆj+2ˆk and b=3ˆi+2ˆjˆk, find (a+3b)(2ab)


a+3b=(ˆi+ˆj+2ˆk)+(3ˆi+2ˆjˆk)=10ˆi+7ˆjˆk

2ab=2(ˆi+ˆj+2ˆk)(3ˆi+2ˆjˆk)=ˆi+0ˆj+5ˆk