How do you find the magnitude of <2,-6> and write it as a sum of the unit vectors?
1 Answer
Aug 13, 2017
|| << 2, -6 >> || = 2sqrt(10)
<< 2, -6 >> = 2bb(ul(hat i)) -6bb(ul(hat j))
Explanation:
The magnitude is given by the vector norm:
|| << 2, -6 >> || = sqrt((2)^2+(-6)^2)
" " = sqrt(4+36)
" " = sqrt(40)
" " = 2sqrt(10)
And in unit vector form, we have:
<< 2, -6 >> = 2bb(ul(hat i)) -6bb(ul(hat j))
