Add A[[a],[b],[c]]+B[[d],[e],[f]]

Problem

A*[[a],[b],[c]]+B*[[d],[e],[ƒ]]

Solution

1. Distribute the scalar A into the first vector by multiplying each component by A

A*[[a],[b],[c]]=[[A*a],[A*b],[A*c]]

2. Distribute the scalar B into the second vector by multiplying each component by B

B*[[d],[e],[ƒ]]=[[B*d],[B*e],[B*ƒ]]

3. Add the two resulting vectors by summing their corresponding components.

[[A*a],[A*b],[A*c]]+[[B*d],[B*e],[B*ƒ]]=[[A*a+B*d],[A*b+B*e],[A*c+B*ƒ]]

Final Answer

A*[[a],[b],[c]]+B*[[d],[e],[ƒ]]=[[A*a+B*d],[A*b+B*e],[A*c+B*ƒ]]

Want more problems? Check here!