Can a vector of magnitude zero have non-zero components ?

Answer the following : (i) A vector has magnitude & direction. Does it have a fixed location in space? Can it vary with time. (ii) Will two equal vectors vec(a) & vec(b) at different locations in space necessarily have identical physical effects? (iii) Can three non zero vectors, not in one plane, give a zero resulatnt? Can four vectors do ? (iv) Can a vector have zero magnitude if one of its components is not zero?

Answer the following : (i) A vector has magnitude & direction. Does it have a fixed location in space? Can it vary with time. (ii) Will two equal vectors vec(a) & vec(b) at different locations in space necessarily have identical physical effects? (iii) Can three non zero vectors, not in one plane, give a zero resulatnt? Can four vectors do ? (iv) Can a vector have zero magnitude if one of its components is not zero?

Answer the following : (i) A vector has magnitude & direction. Does it have a fixed location in space? Can it vary with time. (ii) Will two equal vectors vec(a) & vec(b) at different locations in space necessarily have identical physical effects? (iii) Can three non zero vectors, not in one plane, give a zero resulatnt? Can four vectors do ? (iv) Can a vector have zero magnitude if one of its components is not zero?

A vector with magnitude zero is called a

If vec a is a non-zero vector of magnitude ‘a’ and λ a non-zero scalar, then λ vec a is unit vector if λ =1

If vec a is a non-zero vector of magnitude ‘a’ and λ a non-zero scalar, then λ vec a is unit vector if λ = - 1

If vec a is a non-zero vector of magnitude ‘a’ and λ a non-zero scalar, then λ vec a is unit vector if a = 1/ |λ|

If vec a is a non-zero vector of magnitude ‘a’ and λ a non-zero scalar, then λ vec a is unit vector if a = |λ|