Question

When a vector is multiplied by -1, then its​

Answer 1

When a vector is multiplied by -1, only direction will change

Vector multiplication

• Vectors are the quantities that represent the magnitude as well as the direction.

• When a vector is multiplied by a number, its magnitude increases by the times that number is mentioned. Only when the number has positive or no sign with it.

• When the number has a negative sign with it. It represents that the magnitude will increase but in the opposite direction.

• Since, 1 does not change the magnitude of a quantity when multiplied with it. The magnitude of the vector will remain the same. But the direction will change.

Answer 2

When a vector is multiplied by -1 then its only direction will be changed

Given :  

• Vector is multiplied by -1

To Find :

• Impacts on Vector
• a. only magnitude will be change
• b. only direction will be change
• c. both magnitude and direction will change
• d. neither magnitude nor direction will change​

Solution:

Vector has  magnitude and direction

Magnitude is always +ve

Vector A  can be written as |A|∠θ

|A| is magnitude  

∠θ representing direction

On multiplying with - 1

| - A|  = | A |   Hence no change in magnitude

θ will become -θ

Hence direction will change

So correct answer is only direction will be change

when a vector is multiplied by -1 then its only direction will be changed

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