Question 363895
a) Explain the distinction between a position vector and more general free vector.
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A position vector has it origin at the origin (0,0)
A free vector may have its origin at any point other than (0,0)

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b) State the position vectors in terms of i and j of the points with coordinates 
i) P(4,7) = 4i+uj
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ii) Q(-3,5)= -3i+5j
etc.
iii) R(0,3)
iv) S(-1,0)
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and finally
State the Cartesian coordinates of the point P if its position vector is (all i's and j's have ^)
i) 3i-7j = (3,-7)
ii)-4j = (0,-4)
etc.
iii) -1/2i+13j
iv) ai+bj = (a,b)
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Cheers,
Stan H.