You need both types of vents, Intake and Exhaust.
You also need to ensure that the insulation is not blocking airflow in the vaulted/cathedral ceiling portion prior to intersecting with the knee wall.
So, Smart Vents continuously along the Eaves on both sides and Shingle Vent II Ridge Vent along the entire peak.
Where the rear, nearly flat roof dormer is located, I induce an additional Internal Baffle into the interior of the Shingle vent II to prevent snow or ice back up and that system has worked for me since 1991.
The roof can be covered with a flat roof material, such as EPDM Rubber, or covered entirely with Ice and Water Shield and then shingled.
Ed
You also need to ensure that the insulation is not blocking airflow in the vaulted/cathedral ceiling portion prior to intersecting with the knee wall.
So, Smart Vents continuously along the Eaves on both sides and Shingle Vent II Ridge Vent along the entire peak.
Where the rear, nearly flat roof dormer is located, I induce an additional Internal Baffle into the interior of the Shingle vent II to prevent snow or ice back up and that system has worked for me since 1991.
The roof can be covered with a flat roof material, such as EPDM Rubber, or covered entirely with Ice and Water Shield and then shingled.
Ed