Two vectors A- and B- lie in a plane- another vector C- lies outside this plane- then the resultant of these three vectors i-e- A-B-C-A- Lies in the plane containing A - BB- Lies in the plane containing CC- Can be zeroD- Cannot be zero

The correct option is D Cannot be zero If C⃗ lies outside the plane then resultant force can not be zero. ...

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Standard XII

Physics

Zero Vector

Two vectors A...

Question

Two vectors $\to A$ and $\to B$ lie in a plane, another vector $\to C$ lies outside this plane, then the resultant of these three vectors i.e., $\to A + \to B + \to C$

Can be zero

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Cannot be zero

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Lies in the plane containing $\to A + \to B$

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Lies in the plane containing $\to C$

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Solution

The correct option is (D) Cannot be zero
Since the third vector has a component that lies outside the plane of the remaining two, hence this extra component can not be canceled by any other component during addition, so the sum can never be zero.
If $\to C$ lies outside the plane then the resultant force can not be zero.
Also, the sum lies outside the plane of $\to A + \to B$ because of the extra component of $\to C$ .

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