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The non-parametric vector form of the line through A(a) parallel to b is

A(r - a) · b = 0
B(r + a) × b = 0
C(r - a) × b = 0
Dr × a = b
Answer & Solution
Correct answer: C. (r - a) × b = 0
The vector AP = r - a is parallel to b, so its cross product with b vanishes.
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