Question

Resultant of three non-coplanar non-zero vectors $\overline{a},\overline{b}$ and $\overline{c}$ :

• A. always lies in the plane containing $\overline{a}+\overline{b}$
• B. always lies in the plane containing $\overline{a}-\overline{b}$
• C. can be zero
• D. cannot be zero

Answer 1

The correct option is D cannot be zero

Let the resultant of a and b be x,it lies in the plane which contains a and b vectors.

Now for the resultant of x and c to become zero, x and c vectors must be equal in magnitude and opposite in direction

But as a,b and c are non coplanar vectors, x and c can't be in the same direction

So their resultant can never be zero