Traditional Culture Encyclopedia - Photography and portraiture - Given the directional quantities A = (- 1, 2,3) and B = (1, 1, 1), what is the injectivity of vector a in the direction B?

Given the directional quantities A = (- 1, 2,3) and B = (1, 1, 1), what is the injectivity of vector a in the direction B?

cos(a,b)=a*b/|a|*|b|

=(- 1* 1+2* 1+3* 1)/(√( 1^2+2^2+3^2)*√( 1^2+ 1^2+ 1^2)

=√3/3

therefore

The injectivity of vector A in direction B is | a | cos (a, b) = √ (1 2+2 2+3 2) * √ 3/3.

=4√3/3