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Find the magnitude of vector A = i - 2j + 3k O V14 10 O4

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Answer:

The magnitude of the given vector is
√(14)

Step-by-step explanation:

For any given vector
\overrightarrow{r}=x\widehat{i}+y\widehat{j}+z\widehat{k}

The magnitude is given by


|r|=√(x^2+y^2+z^2)

comparing with the given vector
\overrightarrow{A}=1\widehat{i}-2\widehat{j}+3\widehat{k}

we get

x = 1, y = -2, z = 3

Thus the magnitude of vector A is


|r|=√(1^2+(-2)^2+3^2)\\\\\therefore |r|=√(14)

User TimSparrow
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