Question

If , then is it true that ? Justify your answer.

Answer 1

It is given that a → = b → + c → .

Consider a → , b → and c → are the sides CB → , CA → and AB → of a triangle ABC respectively.

By triangle law of vector addition, a → = b → + c → .

Since, | a → |, | b → | and | c → | are the sides of the triangle, and the sum of the lengths of the triangle is greater than the third side, therefore,

| a → |<| b → |+| c → |.

This shows that | a → |≠| b → |+| c → |, therefore, the given statement is false.