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

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## Answers ( 2 )

The correct answer is option A: Vectors

When a

vectoris multiplied or divided by a scalar, the result is still avector.A

vectoris 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

vectoris multiplied or divided by a scalar, the result is still avectorbecause the operation only acts on the magnitude and not the direction of thevector.However, a

vectorcan not be divided by anothervector.https://brainly.com/question/13012190

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.