magnitude of 3i^+4j^ and 2i^+3j^
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The magnitude of the vector x=(ai+bj+ck) is |x|=a2+b+c2−−−−−−−−√
Applying this to your vectors:
|A|=32+(−4)2+42−−−−−−−−−−−−−√=9+16+16−−−−−−−−−√=41−−√
|B|=22+32+(−7)2−−−−−−−−−−−−−√=4+9+49−−−−−−−−√=62−−√
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