If a-b- c-d-a-d-0- then which of the following is always true-

The correct option is B a⃗,b⃗,c⃗,d⃗ are neccessarily colpanar (a⃗×b⃗ ) × ( c⃗×d⃗ ) · ( a⃗×d⃗ ) = 0 , #160;then a⃗ , b⃗ , c⃗ , d⃗ are neccessa ...

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Byju's Answer

Standard XII

Mathematics

Condition for Coplanarity of Four Points

If a⃗×b⃗× c...

Question

If $(\to a \times \to b) \times (\to c \times \to d) . (\to a \times \to d) = 0$ , then which of the following is always true?

\to a, \to b, \to c, \to d

are neccessarily colpanar

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either

\to a

\to b

must lie lie the planer of

\to b

and

\to c

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either

\to b

\to c

must lie lie the planer of

\to b

and

\to c

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

either

\to a

\to b

must lie lie the planer of

\to c

and

\to d

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

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Solution

The correct option is B $\to a, \to b, \to c, \to d$ are neccessarily colpanar
$(\to a \times \to b) \times (\to c \times \to d) \cdot (\to a \times \to d) = 0,$
then $\to a, \to b, \to c, \to d$ are neccessarily colpanar

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If (→a×→b)×(→c×→d).(→a×→d)=0, then which of the following is always true?

The correct option is B →a,→b,→c,→d are neccessarily colpanar(→a×→b)×(→c×→d)⋅(→a×→d)=0, then→a,→b,→c,→d are neccessarily colpanar

If $(\to a \times \to b) \times (\to c \times \to d) . (\to a \times \to d) = 0$ , then which of the following is always true?

The correct option is B $\to a, \to b, \to c, \to d$ are neccessarily colpanar
$(\to a \times \to b) \times (\to c \times \to d) \cdot (\to a \times \to d) = 0,$
then $\to a, \to b, \to c, \to d$ are neccessarily colpanar