if a vector a is multiplied by n then na is a vector with
A)scalar woth less magnitude than before
B)vector woth less magnitude than before
C)scalar with more magnitide than before
D)vector with more magnitude than before
Answers
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2
Answer:
While adding a scalar to a vector is impossible because of their different dimensions in space, it is possible to multiply a vector by a scalar. A scalar, however, cannot be multiplied by a vector.
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Explanation:
A vector is defined by having the following two properties:
Magnitude
Direction
Thus, when a vector is multiplied by any quantity, we can assume that its magnitude and direction will be affected.
Take a vector, v, with magnitude |v| and direction θ.
In this case, where c is a negative scalar and v is the original vector, cv will have the following characteristics:
|cv| = c|v|
Direction = θ + 180°
Hope this makes sense!
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