Question

Two vectors $\overline{A}$ and $\overline{B}$ lie in a plane. Another vector $\overline{C}$ lies outside this plane, then the resultant of the three vectors $(\overline{A}+\overline{B}+\overline{C})$ :

• A. can be of zero magnitude
• B. cannot be of zero magnitude
• C. lies in the plane containing $(\overline{A}+\overline{B})$
• D. lies in the plane containing $(\overline{A}-\overline{B})$

Answer 1

The correct option is B cannot be of zero magnitude

The resultant is always going to contain atleast one component which is non-zero because of $\overrightarrow{C}$ as it lies in another plane
Thus, resultant cannot have a zero magnitude.