Shortly After Takeoff, a Plane Is Climbing with Velocity Vector $140 \vec { i } + 130 \vec { j } + 10 \vec { k }$

Short Answer

Shortly after takeoff, a plane is climbing with velocity vector $140 \vec { i } + 130 \vec { j } + 10 \vec { k }$ Assume the units are kilometer per hour, that the x-axis points east, that the y-axis points north, that the z axis points up.
If there is a wind blowing 20 km/hr to the southeast, what is the speed of the plane relative to the ground?