Please, help I don't understand vectors T.T
1. In the prism, assume all dimensions have different lengths, state the following:
a) state 3 equal vectors to DC⃗
b) state 4 opposite vectors to BC⃗
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Here is the prism below,
imgur dot com/pMNbX
I can only assume that while the perpendicular lengths are all different, the faces are parallel?
In that case
AB=DC=EF=HG
opposite to BC would be equal to CB:
CB=DA=HE=GF
since these are vectors, and not just edge lengths, you need to be sure to indicate the direction correctly.
Sure, I can help you understand vectors in the context of the given prism.
To start, a vector is a directed line segment that represents a quantity with both magnitude (length) and direction. In this case, we are looking at vectors in the prism based on the diagram you provided.
a) To state three equal vectors to DC⃗:
First, let's identify DC⃗ in the diagram. DC⃗ represents the vector from point D to point C in the prism. To find three equal vectors to DC⃗, we can choose any three other points in the prism that are in the same direction with the same magnitude. Let's call the three chosen points A, B, and D'. The three equal vectors to DC⃗ would be AD'⃗, BD⃗, and BD'⃗, assuming these vectors have the same magnitude and direction as DC⃗.
b) To state four opposite vectors to BC⃗:
Again, let's identify BC⃗ in the diagram. BC⃗ represents the vector from point B to point C in the prism. Opposite vectors have the same magnitude but different directions. To find four opposite vectors to BC⃗, we can choose any four other points in the prism that have the same magnitude but different directions. Let's call the four chosen points A, D, E, and F. The four opposite vectors to BC⃗ would be AB⃗, CD⃗, CF⃗, and AE⃗, assuming these vectors have the same magnitude as BC⃗ but point in different directions.
It's important to note that without specific measurements or additional information about the prism's dimensions, we can only identify the vectors based on their directions and properties stated in the question.