Question

Which of the sets given below may represent magnitude of three vectors adding to zero ?

a) 2 , 4 , 8 b) 4 , 8 , 16 c) 1 , 2 , 1 d) 0.5 , 1 , 2

Answer 1

answer : option (c) 1, 2, 1

explanation : sum of three vectors will be zero only when all the three follow triangle property.

i.e., sum of two sides of any triangle be always greater than or equal to third side.

now Let's check all options,

(a) 2 + 4 ≤ 8, here sum of two sides is less than third side. so, it doesn't follow triangle property .

(b) 4 + 8 ≤ 16, similarly here sum of two sides is less than third side. so, it doesn't follow triangle property .

(c) 1 + 1 = 2 ,here sum of two sides is equal to third side. it follows triangle property. hence, it is correct option.

(d) 0.5 + 1 ≤ 2, similarly here sum of two sides is less than third side. so, it doesn't follow triangle property .

Answer 2

Answer:

1,2,1 is the correct answer