A vector R is given by R-A- B- C - which of the following is true-

The correct option is D None of the aboveGiven that: R=A×(B× C) Geometrical representation of the above is R must be perpendicular to A and also ...

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Standard XII

Mathematics

Applications of Cross Product

A vector R ...

Question

A vector $R$ is given by $R = A \times (B \times C)$ , which of the following is true?

R

must be perpendicular to

B

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R

is parallel to

A

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R

must be parallel to

B

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None of the above

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Solution

The correct option is D None of the above
Given that:
$R = A \times (B \times C)$
Geometrical representation of the above is
$R$ must be perpendicular to $A$ and also $R$ must be perpendicular to $(B \times C) .$
Therefore, D is the correct option.

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Similar questions

Q. A vector

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\to a \times {(\to r - \to b) \times \to a} + \to b \times {(\to r - \to c) \times \to b} + \to c \times {(\to r - \to a) \times \to c} = \to 0

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Vector equation of a straight line passing through a point given by position vector $¯ a$ parallel to $¯ b$ be is given by $¯ r = ¯ a - λ ¯ b, w h e r e ¯ r$ , where $¯ r$ is r position vector of a general point on the line and $λ ϵ I R$

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A vector R is given by R=A×(B×C), which of the following is true?

The correct option is D None of the aboveGiven that:R=A×(B×C)Geometrical representation of the above isR must be perpendicular to A and also R must be perpendicular to (B×C).Therefore, D is the correct option.

A vector $R$ is given by $R = A \times (B \times C)$ , which of the following is true?

The correct option is D None of the above
Given that:
$R = A \times (B \times C)$
Geometrical representation of the above is
$R$ must be perpendicular to $A$ and also $R$ must be perpendicular to $(B \times C) .$
Therefore, D is the correct option.