Question

What is the vector sum of (7,5) and (13,-5)

Answer 1

Vector sum of the given points is 20 i.

Explanation:

Vector sum is like the sum of the numbers with the same coefficients here i component and j component.

That is the given points can be written as,

(7,5) → 7 i + 5 j

(13,-5) → 13 i - 5j

Now we have to add the terms with the same coefficients to find the vector sum as,

7 i + 13 i + 5 j - 5 j = 20 i + 0 j

Answer 2

The vector sum of two vectors as (7,5) and (13,-5) is given by
`v_1+v_2=20i+0j` which can be written in point form as (20,0) .

Explanation:

Here we have , two vectors as (7,5) and (13,-5) Which are represented as :

`v_1=7i+5j\\v_2=13i-5j`

Addition of vector is as same as normal addition of integers as :

⇒
`v_1+v_2=7i+5j+(13i-5j)`

⇒
`v_1+v_2=(7+13)i+(5-5)j`

⇒
`v_1+v_2=20i+0j` ,

where i & j are the unit vectors in direction x-axis and y-axis respectively.

The vector sum of two vectors as (7,5) and (13,-5) is given by
`v_1+v_2=20i+0j` which can be written in point form as (20,0) .