A delivery truck travels 18 blocks north, 10 blocks east, and then 20 blocks south. What is the truck's final displacement form it's starting point? Assume the blocks are all equal length.

Question

9602 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-08-31T10:59:36

#vecs = 10hati - 2hatj " units"#
#|vecs| ~~ 10.1 " units"#

Let us consider the starting point of the truck as origin

Let #vecs# be the displacement vector of truck from origin

#:.# According to the question,

#vecs = 18hatj+10hati-20hatj " units"#

#rArr vecs = 10hati-2hatj " units"#

Magnitude of displacement # |vecs| = sqrt((10^2) + (-2)^2)#

#= sqrt(102)#

#~~ 10.1 " units"#