Question

Can two vectors of unequal magnitude add up to give the zero vector? Can three unequal vectors add up to give the zero vector?

Answer 1

Hii dear,

# Answers-
a) No.
Two vectors of unequal magnitude can never add up to give zero vector.

b) Yes.
Three(or more) vectors of unequal magnitude may add up to give zero vector.

For example, take 3 unequal vectors,
A = i+j-k
B = i-j+k
C = -i+j+k
Adding these three,
A + B + C = i+j-k+i-j+k-i+j+k
A + B + C = 0.

Hope that cleared your doubt.

Answer 2

i) No , its not possible for  two vectors of unequal magnitude add up to give the zero vector

II) Yes three unequal vectors add up to give the zero vector

example :

let us consider  a= 2i

b=3i

c= - 5i

Then vector sum a+b+ c = 2i+3i - 5i=0

∴three unequal vectors add up to give the zero vector