Given v 10i 3j and w 51 j find the ange between v and w

Given v = 10i- 3j and w = - 51 - j. find the ang\'e between v and w What is the angle between v and w?

Solution

v =10i -3 j , w =-5i -j

let be angle between v,w

cos()=|v.w|/||v||w||

cos()=|(10i -3 j)(-5i -j)|/|((10)²+(-3)²)((-5)²+(-1)²)|

cos()=|(10*-5)+(-3*-1)|/|10926|

cos()=|-47|/|10926|

cos()=47/(10926)

cos()=0.88287

=28.0^o

angle between v,w=28.0^o