Question

Three coplanar vectors are expressed, with respect to a certain rectangular coordinate sysytem as
a⃗ =−4i^−j^
,
b⃗ =−3i^+2j^
,
c⃗ =−j^
, in which the components of these vectors are given in arbitrary units. Find the vector
r⃗
which is the sum of these vectors.
−i^+2j^
with magnitude
5√
at
3o
to the x-axis
−i^−2j^
with magnitude
5√
at
297o
to the x-axis
2i^−j^
with magnitude
5√
at
297o
to the x-axis
−2i^−3j^
with magnitude
5√
at
73o
to the x-axis