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Hitman42 [59]
3 years ago
14

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.
Physics
2 answers:
klemol [59]3 years ago
8 0
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 = \frac{1}{3}i +  \frac{1}{3}j + \frac{1}{3}k

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. 
Darina [25.2K]3 years ago
4 0

Always vectors. Remeber that multiplication and division are the same thing. When you want to divide by 2, you are really just multiplying by (1/2). Also remember that multiplying a vector by a scalar does not change the vector into a scalar. It keeps it a vector.

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Answer:

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Explanation:

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