If `vec(a) + vec(b)+vec(c)=vec(0)`, then which of the following is/are correct?
1. `vec(a), vec(b), vec(c)` are coplanar.
2. `vec(a)xx vec(b) = vec(b) xx vec(c) = vec(c) xx vec(a)`
Select the correct answer using the code given below.

Options

A. 1 only
B. 2 only
C. Both 1 and 2
D. Neither 1 nor 2

Answer

C

Explanation

According to statement (1) and (2),
when `vec(a)+vec(b)+vec(c)=vec(0)`, then both statements are correct.
Ir `vec(a)xxvec(b)=vec(b)xxvec(c)=vec(c)xxvec(a)=0`, then `vec(a),vec(b) and vec(c)` are collinear.
Therefore, option (c) is correct.