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# Vectors - Rhombus watch

1. A rhombus ABCD has vertices with position vectors a = pi + 5j, b = 2i + 12j, c = (q + 4)i + qj and d = 22i + 2j. Find the values of p and q. I really appreciate any help that can be given, I have tried countless number of times - if its possible could you give an explanation?
2. (Original post by tom sampson7)
A rhombus ABCD has vertices with position vectors a = pi + 5j, b = 2i + 12j, c = (q + 4)i + qj and d = 22i + 2j. Find the values of p and q. I really appreciate any help that can be give, I have tried countless number of times - if its possible could you give an explanation?
What are the properties of a rhombus?
3. None were stated.
4. (Original post by tom sampson7)
None were stated.
They don't have to be - it's assumed knowledge.
5. Do you mean opposite sides are parallel, all sides are equal and opposite angles are equal?
6. (Original post by tom sampson7)
Do you mean opposite sides are parallel, all sides are equal and opposite angles are equal?
Yes. Draw a rhombus, label its vertices with your points, and use those properties to deduce the answers.
7. Ive done this several times and keep getting different answers, do I need to find the length or just find the two vectors that are parallel to each other?
8. (Original post by tom sampson7)
Ive done this several times and keep getting different answers, do I need to find the length or just find the two vectors that are parallel to each other?
I'd just use the fact that CD=BC in length to find q then use the symmetry to get p.
9. Ah got ya, thank you very much

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