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Given a scalar number 
and a vector v, the product between and v is a vector, with
- magnitude given by the product between the absolute value of and the magnitude of v
- direction given by the sign of: if a is positive, the final vector has same direction of v; if a is negative, the final vector has opposite direction to v.
In our problem, the scalar number is
. This means that the product between the vector and this number:
- has magnitude equal to
times the magnitude of the vector
- has opposite direction with respect to the original vector (because the scalar is negative)
Therefore, the correct answer is
<span>B.) The vector will change direction and decrease in magnitude.</span>
- magnitude given by the product between the absolute value of
- direction given by the sign of
In our problem, the scalar number is
- has magnitude equal to
- has opposite direction with respect to the original vector (because the scalar
Therefore, the correct answer is
<span>B.) The vector will change direction and decrease in magnitude.</span>