Question

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

Answer 1

Vector sum of the given points is 20 i.

Step-by-step 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) .

Step-by-step 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) .