For non-zero vectors a- b- c - - a-b -c - - a - - b - - c - holds if and only if

The correct option is C a·b=b·c=c·a=0 We have | ( a×b )·c |= | a | | b | | c | ⇔ | | a | | b |sinθn̂·c |= | a | | b | | c | ⇔ | | a | ...

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Zero Vector

For non-zero ...

Question

For non-zero vectors $\to a, \to b, \to c; ∣ ∣ ∣ (\to a \times \to b) \cdot \to c ∣ ∣ ∣ = ∣ ∣ \to a ∣ ∣ ∣ ∣ ∣ \to b ∣ ∣ ∣ ∣ ∣ \to c ∣ ∣$ holds if and only if

\to a \cdot \to b = 0, \to b \cdot \to c = 0

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\to b \cdot \to c = 0, \to c \cdot \to a = 0

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\to c \cdot \to a = 0, \to a \cdot \to b = 0

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\to a \cdot \to b = \to b \cdot \to c = \to c \cdot \to a = 0

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| a | = 2

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[\to a \to b \to c] cos 45^{\circ}

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

\to a, \to b

\to c

\to a \cdot \to b \neq 0, \to b \cdot \to c \neq 0,

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\to c

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