Question #56007

Given that
A=−i+2j+2k
. Find the magnitude of A
3
5

(√3)

(√5)

Expert's answer

Answer on Question #56007 – Math – Vector Calculus

Given that A=i+2j+2kA = -i + 2j + 2k. Find the magnitude of AA:

a) 3

b) 5

c) 3\sqrt{3}

d) 5\sqrt{5}

Solution

The magnitude of AA is equal to


A=(1)2+22+22=1+4+4=3.|A| = \sqrt{(-1)^2 + 2^2 + 2^2} = \sqrt{1 + 4 + 4} = 3.


Answer. 3.

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