The pairs a-b- and c-d- each determines a plane- then the planes are parallel if

The correct option is C (a⃗× b)×(c⃗×d⃗) =0 P_1 contain a,b So n_1= a⃗×b⃗ P_2 contain c,d So n_2= c⃗×d⃗ As P_1∥ P_2 s ...

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Multiplication with Vectors

The pairs a...

Question

The pairs $\to a, \to b$ and $\to c, \to d$ each determines a plane, then the planes are parallel if

(\to a \times c) \times (\to b \times \to d) = 0

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(\to a \times c) \cdot (\to b \times \to d) = 0

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(\to a \times b) \times (\to c \times \to d) = 0

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(\to a \times b) \cdot (\to c \times \to d) = 0

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\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 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

[\to b \to c \to d] = 4

(\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) + k \to a = 0

k

\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)

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