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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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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2022-04-09T12:40:38+00:00 2 Answers 0

Answers ( 2 )

  1. admin1997
    0
    2022-04-09T12:41:44+00:00

    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 .

    https://brainly.com/question/13012190

  2. Adeline
    0
    2022-04-09T12:42:26+00:00

    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.

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