If a- and b- are two vectors such that a-b-0 and a-b-0- then

The correct option is D None of the aboveWe have, a⃗.b⃗=0 and a⃗×b⃗=0⃗ ⇒ |a⃗||b⃗|cos θ=0 and |a⃗||b⃗|sin θ =0 ⇒ |a⃗|=0 or |b⃗|=0 or cos θ =0 and |a⃗|=0|b⃗|= ...

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Byju's Answer

Standard IX

Mathematics

Angle between Two Vectors

If a⃗ and b⃗ ...

Question

If $\to a$ and $\to b$ are two vectors such that $\to a . \to b = 0$ and $\to a \times \to b = \to 0$ , then

\to a | | \to b

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\to a ⊥ \to b

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e i t h e r p a r a l l e l o r p e r p e d i c u l a r

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N o n e o f t h e a b o v e

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Solution

The correct option is D $N o n e o f t h e a b o v e$
We have, $\to a . \to b = 0$ and $\to a \times \to b = \to 0$
$\Rightarrow | \to a | | \to b | c o s θ = 0$ and $| \to a | | \to b | s i n θ = 0$
$\Rightarrow | \to a | = 0$ or $| \to b | = 0 o r c o s θ = 0$
and $| \to a | = 0 | \to b | = 0$ or $s i n θ = 0$

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If →a and →b are two vectors such that →a.→b=0 and →a×→b=→0, then

The correct option is D None of the aboveWe have, →a.→b=0 and →a×→b=→0 ⇒|→a||→b|cosθ=0 and |→a||→b|sinθ=0 ⇒|→a|=0 or |→b|=0orcosθ=0 and |→a|=0|→b|=0 or sinθ=0

If $\to a$ and $\to b$ are two vectors such that $\to a . \to b = 0$ and $\to a \times \to b = \to 0$ , then