Two vectors A→ and B→ lie in a plane, a third vector C→ lies outside this plane, then the sum of these vectors A→+B→+C→:

The A→+B→ will lie in same plane. Since vector C→ is outside the plane. Hence A→+B→ and C→ are non coplanar and therefore their resultant cannot be zero.

Two vectors A→ and B→ lie in a plane, a third vector C→ lies outside this plane, then the sum of these vectors A→+B→+C→:

The A→+B→ will lie in same plane. Since vector C→ is outside the plane. Hence A→+B→ and C→ are non coplanar and therefore their resultant cannot be zero.

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Two vectors $\vec{A}$ and $\vec{B}$ lie in a plane, a third vector $\vec{C}$ lies outside this plane, then the sum of these vectors $\vec{A}$ + $\vec{B}$ + $\vec{C}$ :

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can be zero

can never be zero

lies in a plane containing $\vec{A}$ + $\vec{B}$

lies in a plane containing $\vec{A}$ - $\vec{B}$

answer is B.

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Detailed Solution

The $\vec{A} + \vec{B}$ will lie in same plane. Since vector $\vec{C}$ is outside the plane. Hence $\vec{A} + \vec{B}$ and $\vec{C}$ are non coplanar and therefore their resultant cannot be zero.