Magnitude - vector, Mathematics

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Magnitude - Vector

The magnitude, or length, of the vector v→ = (a1, a2, a3) is given by,

||v→|| = √(a12 + a22 + a23)

Example of Magnitude

Illustration: Determine or find out the magnitude of each of the following vectors.

(a) a→ = (3, -5, 10)

(b) u→= (1/5, - 2/5)

(c) W→ = (0,0)

(d) i→ = (1,0,0)

Solution

There is not very much to these other than plug into the formula.

(a) ||a→|| = √(9+25+100) = √134

(b) ||u→|| = √(1/5 + 4/5) = √1 = 1

(c) ||w→|| = √(0+0) = 0

(d) ||i→|| = √(1+0+0) = 1


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