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WombatWithANuke
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Homework Statement
Ex. 2. Express each of the following by an equation:
(a) Two vectors A and B are parallel.
(b) Three vectors A, B and C are co-planar.
Homework Equations
C = A + B
3. The Attempt at a Solution
I understand (a) the answer being B = (alpha)*A because that is a scalar transformation, but for part (b) the answer in the end of the book is C = (alpha)*A + (beta)*B where (alpha) and (beta) are both scalar quantities. Wouldn't it still be correct to say that C = A + B without the scalar transformation. I just don't understand why the book chose to use this answer. Thank you for any help.