If either a-0- or b-0- then a-b-0- Is the converse true- Justify your answer with an example -

Take any parallel non zero vectors so that a⃗×b⃗=0⃗ .Let a⃗=2î+3ĵ+4k̂, b⃗=4î+6ĵ+8k̂ .Then, #10; a×b⃗= #160;î amp; ĵ #160; amp; #10;k ...

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If either a...

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If either $\to a = \to 0$ or $\to b = \to 0$ , then $\to a \times \to b = \to 0$ . Is the converse true? Justify your answer with an example .

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\to a = \to 0

\to b = \to 0

\to a \cdot \to b = 0

$\to a \neq \to 0, \to b \neq \to 0, \to a \times \to b = \to 0, \to c \times \to b = \to 0 \Rightarrow \to a \times \to c =$

\to a, \to b

\to c

\to a + 2 \to b + 2 \to c = \to 0

| \to a \times \to c |

(\to a + \to b) \cdot (\to a + \to b) = {| \to a |}^{2} + {∣ ∣ \to b ∣ ∣}^{2}

\to a \to b

\to a \neq \to 0, \to b \neq \to 0

\to a, \to b, \to c

\to a + \to b + \to c = \to 0

\to 0

\to a . \to b + \to b . \to c + \to c . \to a

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