Two non-zero 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 isA- Cannot be zero-B- Can be zero-C- Lies in the plane containing A - BD- Lies in the plane containing C-

The correct option is A Cannot be zero.Resultant of vectors A and B lie in the same plane in which A and B lie. So, it makes some angle with vector C which lie ...

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Byju's Answer

Standard XII

Physics

Vector Addition

Two non-zero ...

Question

Two non-zero 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. $\to A + \to B + \to C$ is

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 B Cannot be zero.
Resultant of vectors $\to A$ and $\to B$ lie in the same plane in which $\to A$ and $\to B$ lie. So, it makes some angle with vector $\to C$ which lies outside the plane. Hence, the resultant of these vectors cannot be zero and it can lie in between the plane containing resultant of vectors $\to A$ and $\to B$ and plane containing vector $\to C$

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Two non-zero 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 is

Two non-zero 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. $\to A + \to B + \to C$ is