Answer
(a) $v_{par}= -3.4~m/s$
(b) $v_{perp} = -9.4~m/s$
Work Step by Step
(a) $v_{par}=- v~sin(\theta)$
$v_{par}=- (10~m/s)~sin(20^{\circ})$
$v_{par}= -3.4~m/s$
(b) $v_{perp} = -v~cos(\theta)$
$v_{perp} = -(10~m/s)~cos(20^{\circ})$
$v_{perp} = -9.4~m/s$