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Vector Addition

A⃗ and B⃗ are...

Question

$\to A a n d \to B$ are two perpendicular vectors in a plane. $\to C$ is another vector perpendicular to the plane containing vectors $\to A a n d \to B$ . Which of the following of the relations is/ are possible?

A + B = C

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A + C = B

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Solution

The correct options are
C
D
Since $\to C$ is perpendicular to both $\to A a n d \to B$ , the sum of any two cannot yield the third vector.
Hence choices (a) and (b) are not possible. Since $\to A$ is perpendicular to $\to B$ , the three vectors are mutually perpendicular. Hence choices (c) and (d) are possible.

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→A and →B are two perpendicular vectors in a plane. →C is another vector perpendicular to the plane containing vectors →A and →B. Which of the following of the relations is/ are possible?

The correct options are C D Since →C is perpendicular to both →A and →B, the sum of any two cannot yield the third vector. Hence choices (a) and (b) are not possible. Since →A is perpendicular to →B, the three vectors are mutually perpendicular. Hence choices (c) and (d) are possible.

$\to A a n d \to B$ are two perpendicular vectors in a plane. $\to C$ is another vector perpendicular to the plane containing vectors $\to A a n d \to B$ . Which of the following of the relations is/ are possible?