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the norm of the distance is |d|=97.95 ft
the vector of the distance is d=96i+18j+27k
- Vector : a quantity having direction as well as magnitude, especially as determining the position of one point in space relative to another.
- an organism, typically a biting insect or tick, that transmits a disease or parasite from one animal or plant to another.
- Step-by-step explanation:
- As per the attached image, the distance from the origin of the x y & z axis is where the vector starts and it ends at the opposite side of the room.
- Calculating the norm as the square root of the sum of each side of the rooms squared & calculating the vector as each side of the room multiplied by the i, j & k axis, the results are as mentioned above.
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Let us assume total capacity of the container = x pounds.
Container contains 1/6th coffee of total x pounds, that is x/6 pounds.
We also given that 1/6th part is equal to 2/3 of a pound.
So, we could setup an equation now.
x/6 pounds equals 2/3 of a pound.
Dividing both sides by 1/6, we get
÷
=
÷
.
Therefore, x = ÷
Division expression that represents the capacity of the container = 2/3 ÷ 1/6.