Question

Two vectors A and and B are given in the component form as A = 5i+7j-4k and B=6i+3j+2k. show that A+B=B+A

Answer 1

Vector addition is commutative, just like addition of real numbers .

Explanation:

Vector addition is commutative, just like addition of real numbers

IT IS THE PROPERTY OF VECTORS .

Here

A+B = 5i+7j-4k  + 6i+3j+2k

       = 5+6i+7+3j+(-4+2k )

       = 11i + 10 j -2k  ........eq 1

B+A =6i+3j+2k+ 5i+7j-4k

       = 6+5 i + 3+7 k + 2-4 k

         = 11i + 10 j -2k   .......eq 2

from eq 1 and eq 2 we can say that

A+B = B+A

Answer 2

Answer:

A+B = 5i+7j-4k  + 6i+3j+2k

 = 5+6i+7+3j+(-4+2k )

  = 11i + 10 j -2k  ........eq 1

B+A = 6i+3j+2k+ 5i+7j-4k

 = 6+5 i + 3+7 k + 2-4 k

 = 11i + 10 j -2k   .......eq 2

from eq 1 and eq 2 we can say that

A+B = B+A.