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