Question 405261

The {{{magnitude}}} of a vector {{{v}}} is given by the following formula:

For v = (v1, v2)

||v|| = {{{sqrt( (v1)^2 + (v2)^2) )}}}


Therefore, since v = (2, -4),


||v|| = {{{sqrt ( (2)^2 + (-4)^2 )}}}

= {{{sqrt (4 + 16)}}}

= {{{sqrt(20)}}}, which can be reduced to {{{2sqrt(5)}}}