1. AF in terms of AB
2. AE in terms of AB and BC
3. BC in terms of AF and EC
Jhiska doesnt allow me to post urls so can you please search in "Intro to Vectors MCV4U U1A2 Assignment Question1 Support" on youtube which shows the diagram needed to answer this question.
clearly, AF = 1/2 AB
AE = AF + FE
= AB/2 + BC/2
BC = 2FE
Now, since AF+FE=AE, FE=AE-AF
BC = 2(AE-AF) = 2(EC-AF)
I apologize, but as an AI text-based bot, I am unable to watch videos or access external websites. However, I can still provide you with the explanations on how to get the answers to your questions based on the given information.
1. AF in terms of AB:
To find AF in terms of AB, we need to look at the diagram you mentioned, but since I cannot access it directly, I will provide a general approach.
In a diagram of vectors, AF refers to the vector from point A to point F. AB, on the other hand, refers to the vector from point A to point B. To find AF in terms of AB, you can use vector addition or subtraction. If F is obtained by adding vector AB to another vector AC, then you can express AF as the vector sum of AB and AC. If F is obtained by subtracting vector AB from another vector AC, then you can express AF as the vector difference of AC and AB.
2. AE in terms of AB and BC:
Again, without direct access to the diagram, I can still provide a general approach. In this case, we want to find AE in terms of AB and BC.
If A, E, and B are collinear points, it means that they lie on the same straight line. Assuming the direction from A to B is the positive direction, we can say that AE is equal to the sum of AB and BE, or alternatively, it can be expressed as the difference between BE and AB.
Please refer to the specific diagram you mentioned for the exact positions and directions of vectors AB and BC.
3. BC in terms of AF and EC:
Similarly, to find BC in terms of AF and EC, we need to consider the diagram you mentioned.
If B, C, and E are collinear points, it means that they lie on the same straight line. Assuming the direction from B to C is the positive direction, we can express BC as the sum of two vectors, BE and EC.
In terms of the given vectors AF and EC, we have:
BC = BE + EC = (AE - AB) + EC = AE + (EC - AB) = AE + EF.
Again, please refer to the specific diagram you mentioned for accurate representations of the vectors and their directions.
Remember, these explanations are based on the assumption that A, B, C, E, and F are collinear points in a specific configuration, as described in your video reference.