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Vector coordinates

Vector coordinates, linear combinations, parallelograms, parallel vectors, lengths and segment division.

Questions: 6Estimated time: 18 minutes
Vector coordinates
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Sample questions

  1. Given A(___; ___), C(___; ___) and 2·AB − AC = (___; ___), where AB and AC are vectors, find B.
  2. A(___; ___), B(___; ___) and C(___; ___) are three consecutive vertices of parallelogram ABCD. Find D.
  3. Vectors u = (___; t) and v = (___; ___) are parallel. Find t.
  4. Given u = (___; ___) and v = (___; ___), find the length of ___u − 2v.
  5. Point P lies inside segment AB, with AP : PB = ___ : ___. Given A(___; ___), B(___; ___), find P.___

Vector coordinates

Vector coordinates, linear combinations, parallelograms, parallel vectors, lengths and segment division.

Dynamic advanced-course tasks with hints explaining the solution method.

A cat explains a mathematics task at a board