Question

A=3i+4j abd B=4i+3j,unit vector in the direction of (A+B)​

Answer 1

R = A + B = 7i + 7j

| R | = √7² + 7²

| R | = √2×49

| R | = 7√2

A unit vector = 7i + 7j / 7√2

==> 7i/7√2 + 7j / 7√2

==> 1/√2 i + 1/√2 j

Answer 2

(1/√2)i + (1/√2)j

Explanation:

Given, A = 3i + 4j

           B = 4i + 3j

A + B = (3+4)i + (4+3)j

A + B = 7i + 7j

| A + B | = √7^2 + 7^2

| A + B | = √2(49)

| A + B | = 7√2

Unit vector in the direction of (A+B):

              (7/7√2)i +  (7/7√2)j

Unit vector in the direction of (A+B):  (1/√2)i + (1/√2)j  

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