Two statements are made regarding three non-zero vectors `vecA, vecB and vec C` having different magnitudes :
(1) Any two of these vectors can be combined to give a zero vector.
(2) The three vectors can be combined to give a zero vector. Then,

Options

A. Statements (1) and (2) are always true
B. Statements (1) and (2) are always wrong
C. Statement (1) is always wrong but 2 may be true
D. Statements (1) and (2) may be true

Answer

C

Explanation

As the vectors `vec A, vec B and vec C` have different magnitudes, any two vectors, when combined in any way, cannot give a zero resultant. Hence statement (1) is wrong. But three vectors can be combined to give a zero resultant. This is possible when `vec A + vec B =-vec C` and then `-vec C + vec C=0`.
Thus statement (2) may be correct.
Thus (c ) is the correct statement.