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Question

If a=^i+^j+^k,b=2^i^j+3^k and c=^i2^j+^k find a unit vector parallel to the vector. 2ab+3c

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Solution

2ab+3c=3i3j+2k
|2ab+3c|=9+9+4=22
A unit vector parallel to 2ab+3c is
|2ab+3c|22
=3i3j+2k22=3i223i22+2k22

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