Mulitply the binomials and identify the value of "B" in the product. (−2x + 3)(x + 8) = −2x2 −Bx + 24 {"version":"1.1","math":"M
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I assume you know about the dot product, and that for two vectors and
, the angle between them
satisfies
Then the vectors are parallel if the angle between them is 0 or 180 degrees (0 or pi radians), which would make or
, respectively.
Part A)
Then the angle between is such that
so these vectors are parallel ("antiparallel", more specifically, which means they are parallel but point in opposite directions).
Part B) involves the same computations:
has the same components but differing by sign and order, as
; its magnitude remains the same, though:
which is neither 0 nor pi, which means these vectors are not parallel.