Answer:
(I). The sum of the vectors is (7i-5j).
(II). The sum of the vectors is (8i+7j).
Explanation:
Given that,
(I). Vector A [tex]A=3i-12j[/tex]
Vector B [tex]B=4i+7j[/tex]
Suppose, (II). Vector A [tex]A=6i+15j[/tex]
Vector B [tex]B=2i-8j[/tex]
(I). We need to calculate the sum of the vectors
Using formula of sum
[tex]\vec{C}=\vec{A}+\vec{B}[/tex]
Where,
[tex]\vec{A}= vector A[/tex]
[tex]\vec{B}= vector B[/tex]
[tex]\vec{C}= sum of the vector A and b
Put the value into the formula
[tex]\vec{C}=(3i-12j)+(4i+7j)[/tex]
[tex]\vec{C}=7i-5j[/tex]
(II). We need to calculate the sum of the vectors
Using formula of sum
[tex]\vec{C}=\vec{A}+\vec{B}[/tex]
Put the value into the formula
[tex]\vec{C}=(6i+15j)+(2i-8j)[/tex]
[tex]\vec{C}=8i+7j[/tex]
Hence, The sum of the vectors is (7i-5j).
The sum of the vectors is (8i+7j).
