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1 answer:
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Answer:
a
the displacement of the plane is
b
The displacement of plane from Portland to Akron with layover at Houston is
c
the vector which defines this displacement is
Step-by-step explanation:
From the question we are the
The displacement from Portland, Oregon to Houston, Texas. is
The displacement from Houston, Texas to Akron, Ohio. is a
a
The motion of the plane in question a is in the opposite direction to vector
So the displacement of the plane is
b
The motion of Portland to Houston to Akron is in the direction of both vector and
so
The displacement of plane from Portland to Akron with layover at Houston is
c
From the question we are told that the plane flies over Portland to get to Anchorage, Alaska which implies that it is moving in opposite direction to the vector
Give that distance from Portland to Houston is
and the distance from Portland to Anchorage is km
Then the vector which defines this displacement is mathematically represented as
Answer:
The area of the parallelogram is 55 square unit.
Step-by-step explanation:
The area of a parallelogram is
It is given that the vertices of the parallelogram are P(-2, -5), Q(9, -5), R(1, 5), S(12, 5).
Plot these points on a coordinate plane, and draw a perpendicular on PQ from the point R.
From the graph is clear that length of PQ is 11 and the height of the parallelogram is 10. So, the area of a parallelogram is
Therefore the area of the parallelogram is 55 square unit.
