Practice!

Sample Problem

Find the component form of v if v=1/3(4u-w) if u=6i+j and w=3i-2j.

< , >

Solution

v=1/3(4u-w)

u=<6, 1>

w=<3, -2>

v=1/3(4<6, 1>-<3, -2>)

=1/3(<24, 4>-<3, -2>)

=1/3<24-3, 4-(-2)>

=1/3<21, 6>

=<7, 2>