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 ...

381

You visited us 381 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

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

No worries! We‘ve got your back. Try BYJU‘S free classes today!

R

is parallel to

A

No worries! We‘ve got your back. Try BYJU‘S free classes today!

R

must be parallel to

B

No worries! We‘ve got your back. Try BYJU‘S free classes today!

None of the above

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

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.

Suggest Corrections

Similar questions

Q. A vector

\to R

is given by

\to R = \to A \times (\to B \times \to C) .

Which of the following is true?

Q. Let

\to a, \to b, \to c

be three vectors mutually perpendicular to each other and have same magnitude. If a vector

\to r

satisfies

\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

then

\to r

is equal to

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 $λ ϵ I R$

Q. If

\to a, \to b, \to c

be three non-coplanar vectors and

\to r

be any arbitrary vector, then

(\to a \times \to b) \times (\to r \times \to c) + (\to b \times \to c) \times (\to r \times \to a) + (\to c \times \to a) \times (\to r \times \to b)

is equal to

Join BYJU'S Learning Program

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.