Let us define the length of a vector as

MATHEMATICS · Single correct · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

Let us define the length of a vector

a\hat{i} + b\hat{j} + c\hat{k}

|a| + |b| + |c|

. This definition coincides with the usual definition of length of a vector

a\hat{i} + b\hat{j} + c\hat{k}

if and only if (1)

a = b = c = 0

(2) any two of

a, b

and

c

are zero (3) any one of

a, b

and

c

is zero (4)

a + b + c = 0