The vector sum of two vectors as (7,5) and (13,-5) is given by [tex]v_1+v_2=20i+0j[/tex] 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 :
[tex]v_1=7i+5j\\v_2=13i-5j[/tex]
Addition of vector is as same as normal addition of integers as :
⇒ [tex]v_1+v_2=7i+5j+(13i-5j)[/tex]
⇒ [tex]v_1+v_2=(7+13)i+(5-5)j[/tex]
⇒ [tex]v_1+v_2=20i+0j[/tex] ,
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 [tex]v_1+v_2=20i+0j[/tex] which can be written in point form as (20,0) .
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
