Question #56015

Let
a⃗ =5i+2j−3k
, then |a|= ……...
38

√38
4

√4

Expert's answer

Answer on Question #56015 – Math – Vector Calculus

Let a=5i+2j3k\vec{a} = 5i + 2j - 3k, then a=|a| = \ldots

Solution


a=5i+2j3k=52+22+(3)2=25+4+9=38.|a| = |5i + 2j - 3k| = \sqrt{5^2 + 2^2 + (-3)^2} = \sqrt{25 + 4 + 9} = \sqrt{38}.


Answer: 38\sqrt{38}.

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