If a-b-c- are non-coplanar vectors and d- is a unit vector then find the value of - a-b- b-c- - b-d- c-a- - c-d- a-b- - independent of d-

The correct option is A [a⃗,b⃗,c⃗] | ( a . b #160;) ( b × c #160;) +( b . d #160;) ( c × a #160;) +( c . d #160;) ( a × b ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Implicit Differentiation

If a⃗,b⃗,c⃗...

Question

If $\to a, \to b, \to c$ are non-coplanar vectors and $\to d$ is a unit vector then find the value of $∣ ∣ (\to a . \to b) (\to b \times \to c) + (\to b . \to d) (\to c \times \to a) + (\to c . \to d) (\to a \times \to b) ∣ ∣$ independent of $\to d$

[\to a, \to b, \to c]

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

[\to b, \to c, \to a]

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

[\to a - b, \to b, \to c]

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

[\to a - b, \to b - c, \to c - a]

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

Open in App

Solution

Suggest Corrections

Similar questions

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

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

\to b, \to c, \to d

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

\to b, \to c, \to d

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

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

{(\to a \times \to b) \times (\to c \times \to d)} \times (\to a - \to b) =

\to a \times \to b = \to c \times \to d

\to a \times \to c = \to b \times \to d

\to a - \to d

\to b - \to c

Join BYJU'S Learning Program