Euclindean norm (length) of the vector [4-2-6]^{ {T}} is

GATE Civil Engineering (CE) 2019 Shift 2 Solved Paper

Question : 27 of 65

Marks: +1, -0

Euclindean norm (length) of the vector

[4-2-6]^{ {T}}

Solution:

The Euclidean norm assigns to each vector the length of its arrow. Because of this, the Euclidean norm is often known as the magnitude. So,
Length

=√{4^{2}+(-2)^{2}+(-6)^{2}}=√{56}

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