A gunfight broke out in the Sabaha district, where Huthi protesters have been camping for weeks in a campaign to bring down the government and secure greater representation in state institutions.
Yesterday, seven activists were shot dead as Huthi protesters attempted to storm government headquarters, while thousands blocked main thoroughfares in central Sanaa.
And troops in Hiziaz, a southern entrance to Sanaa, clashed with rebels who tried to drive a vehicle loaded with arms into the capital.
It accused rebels of firing machineguns and rocket-propelled grenades.
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In other developments, tribal sources said 10 rebels were killed in Al-Ghayl, in the northeastern province of Al-Jawf, where they have been fighting troops and loyalist tribesmen for weeks.
And the air force carried out strikes on Shiite rebels elsewhere in the province, the same sources said.
The rebels have so far rejected overtures from President Abdrabuh Mansur Hadi, who has offered to name a new prime minister and reduced a disputed fuel price hike.
Analysts say the rebels are trying to establish themselves as the top political force in the northern highlands, bordering Saudi Arabia, where Shiites are the majority.