Question

if the sum of two vectors and their difference are parallel, it can be made out that the two vectors are​

Answer 1

Explanation:

Two vectors are equal if they have the same magnitude and direction. They are parallel if they have the same or opposite direction.

We can combine vectors by adding them, the sum of two vectors is called the resultant.

Adding Vector

In order to add two vectors, we add the corresponding components.

Example

Add the two following vectors:

a→=⟨2,4⟩,b→⟨−1,6⟩

We add the corresponding components

a→+b→=⟨2+(−1),4+6⟩=⟨1,10⟩

Answer 2

Two vectors are equal if they have the same magnitude and direction. They are parallel if they have the same or opposite direction.

We can combine vectors by adding them, the sum of two vectors is called the resultant.

Adding Vector

In order to add two vectors, we add the corresponding components.

Example

Add the two following vectors:

a→=⟨2,4⟩,b→⟨−1,6⟩

We add the corresponding components

a→+b→=⟨2+(−1),4+6⟩=⟨1,10⟩