Q.3 solve this

Q.3 Let  a , b , c   be three unit vectors such that 3 a + 4 b + 5 c  ​= 0. Then which of the following statements is true ? ​
(a)  a  is parallel to  b  
(b) ​ a  is perpendicular to  b  
(c)  a  is neither parallel nor perpendicular to  b  
(d) none of the above

dear student

let angle between vectors a and b be x angle between vectors b and c be y angle between vectors a and c be z3a+4b+5c=0multiplying by a, we get3+4cosx+5cosz=0similarly multiplying by b, we get3cosx+4+5cosy=0similarly multiplying by c, we get3cosz+4cosy+5=0if cosx=0 from eqn 1 and 2cosy=-4/5and cosz=-3/5and this also satisfies3cosz+4cosy+5=0so cosx=0a and b are perpendicular

regards

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