Question

Two vectors A → and B → are such that A → + B → = C → and A 2 +  B 2 = C 2 . Which of the following statement is correct. 
a) A → is parallel to B →
b) A → is anti-parallel to B →
c) A → is perpendicular to B →
d) A → and B → are equal in magnitude.
PLS ANSWER ASAP​

Answer 1

Gud Noon

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Here's ur answer

We know that,

A + B = √(A²+B²+2ABcosX)     where X is the angle between A and B

(A+B)² = (A²+B²)+2ABcosX

(C)² = (C²) + 2ABcosX

2ABcosX = C²-C² = 0

2ABcosX = 0

cosX = 0

X = 90°

Threfore A and B are perpendicular to each other  

Hence, option (C) is the correct answer

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