Find the magnitude of the vector v=2i−5j+4k
Magnitude of any vector is ∣xi+yj+zk∣=x2+y2+z2|xi+yj+zk|=\sqrt{x^2+y^2+z^2}∣xi+yj+zk∣=x2+y2+z2
Hence the magnitude of this vector=22+(−5)2+42=\sqrt{2^2+(-5)^2+4^2}=22+(−5)2+42
=45=\sqrt{45}=45
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