Three vectors A - B - C satisfy the relation A - B -0 and A - C -0- The vector A is parallel to

The correct option is D B × C A⃗.B⃗ = 0 signifies that #160; A⃗ is perpendicular to #160; B⃗ . #160;Similarly #160; A⃗ i ...

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Byju's Answer

Standard XII

Physics

Work Done as Dot Product

Three vectors...

Question

Three vectors $\to A, \to B, \to C$ satisfy the relation $\to A . \to B = 0$ and $\to A . \to C = 0$ . The vector $\to A$ is parallel to

\to B

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\to C

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\to B . \to C

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\to B \times \to C

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Solution

The correct option is D $\to B \times \to C$
$\to A . \to B$ = $0$ signifies that $\to A$ is perpendicular to $\to B$ .
Similarly $\to A$ is perpendicular to $\to C$ .
Therefore $\to A$ is perpendicular to both $\to B$ and $\to C$ .
Also , $\to B \times \to C$ is perpendicular to both $\to B$ and $\to C$ .
Hence , $\to A$ is parallel to $\to B \times \to C$ .

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Three vectors →A,→B,→C satisfy the relation →A.→B=0 and →A.→C=0. The vector →A is parallel to

The correct option is D →B×→C→A.→B = 0 signifies that →A is perpendicular to →B. Similarly →A is perpendicular to →C.Therefore →A is perpendicular to both →B and →C.Also , →B×→C is perpendicular to both →B and →C.Hence , →A is parallel to→B×→C .

Three vectors $\to A, \to B, \to C$ satisfy the relation $\to A . \to B = 0$ and $\to A . \to C = 0$ . The vector $\to A$ is parallel to