Given:
A plane is normal to the vector = -2i+5j+k
It contains the point (-10,7,5).
To find:
The component equation of the plane.
Solution:
The equation of plane is

Where,
is the point on the plane and
is normal vector.
Normal vector is -2i+5j+k and plane passes through (-10,7,5). So, the equation of the plane is





Therefore, the equation of the plane is
.
Answer:
C) 50 square units
Step-by-step explanation:
from (-4,-1) to (6,-1) is 10
from (-4,-1) to (-4,4) is 5
10x5=50
36/8=4.5 which is how many millimeters there are in a meter. So 6 meters *4.5 would be 27 millimeters. The length of the blue print is 27 millimeters
Answer:
Resultant is 50 mi/hr in the north east direction
Step-by-step explanation:
Plane is traveling north east at 150 mi/hr.
Now a wind is blowing from the south west at 100 mi/hr.
Now, north east and south west are directly opposite directions and such the angle between the resultant speed of the plane in flight and the wind will be;
150 - 100 = 50 mi/hr
Since the north east speed is greater than the south east speed, then the direction will be north east.
Thus, resultant is 50 mi/hr in the north east direction