LeslieChow
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Multiplying or dividing vectors by scalars results in a. vectors. b. scalars. c. vectors if multiplied or scalars if divided. d. scalars if multiplied or vectors if divided.

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IssacAsimov
Let A = i+j+k be a vector and B = 3 be any scalar, 
Multiplying A and B, 
AB = (i+j+k)3 = 3i+3j+3k 

Which is a new vector whose direction is same as the old but it's 3 times greater in length  than the old vector(i+j+k).

Now, dividing A and B,
A/B = (i+j+k)/3 = [tex] \frac{1}{3}i + \frac{1}{3}j + \frac{1}{3}k [/tex]

Which is again a new vector whose direction is same as the old but now it's 1/3 times small in length than the old vector. 

Direction is same because we multiplied by positive scalar. If we multiply A by suppose -1, -4, -1000000 or any negative number, it's direction will reverse. 

Thus, if we multiply a vector with scalar, it's length increases. If we divide, it shrinks. 
pstnonsonjoku

The correct answer is option A: Vectors

When a vector is multiplied or divided by a scalar, the result is still a vector.

A vector is any quantity that has both magnitude and direction while a scalar is a quantity that can only be described completely by its magnitude without direction.

Hence, when a vector is multiplied or divided by a scalar, the result is still a vector because the operation only acts on the magnitude and not the direction of the vector.

However, a vector can not be divided by another vector .

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