SOLUTION: Evening Everyone, Staying in on a saturday night doing work as a good student but stuck on this question a) Explain the distinction between a position vector and more genera

Question 363895: Evening Everyone, Staying in on a saturday night doing work as a good student but stuck on this question

a) Explain the distinction between a position vector and more general free vector.
b) State the position vectors in terms of i and j of the points with coordinates
i) P(4,7)
ii) Q(-3,5)
iii) R(0,3)
iv) S(-1,0)
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
ii)-4j
iii) -1/2i+13j
iv) ai+bj
Thanks in advance
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
a) Explain the distinction between a position vector and more general free vector.
---
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)
-----
b) State the position vectors in terms of i and j of the points with coordinates
i) P(4,7) = 4i+uj
----
ii) Q(-3,5)= -3i+5j
etc.
iii) R(0,3)
iv) S(-1,0)
=======================
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)
======================
Cheers,
Stan H.

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