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)) #
