Q.
Vectors along the adjacent sides of parallelogram are a→=i^+2j^+k^ and b→=2i^+4j^+k^ Find the length of the longer diagonal of the parallelogram'
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answer is 7.
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Detailed Solution
Vectors along the sides are a→=i^+2j^+k^ and b→=2i^+4j^+k^Clearly the vector along the longer diagonal is a→+b→=3i^+6j^+2k^Hence, length of the longer diagonal is|a→+b→|=|3i^+6j^+2k^|=7
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