If -A-B-0 and -B-C-0- then the angle between -A and -C may be -

The correct option is A 0 A⃗×B⃗=0 (Given) ABsinθ=0 θ =0 , . . . . .(1)The angle between A⃗ and B⃗ is zero. B⃗×C⃗=0 (Given) ...

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Byju's Answer

Standard XII

Mathematics

Direction Cosines

If →A×→B=→0...

Question

If $\to A \times \to B = \to 0$ and $\to B \times \to C = \to 0$ , then the angle between $\to A$ and $\to C$ may be :

0

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\frac{π}{4}

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\frac{π}{2}

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none of these

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Solution

The correct option is A $0$
$\to A \times \to B = 0$ (Given)

$A B s i n θ = 0$

$θ = 0$ , . . . . .(1)

The angle between $\to A$ and $\to B$ is zero.

$\to B \times \to C = 0$ (Given)

$B C s i n ϕ = 0$

$ϕ = 0$ . . . . .(2)

The angle between $\to B$ and $\to C$ is zero

From the above discussion,

The angle between $\to A$ and $\to C$ is zero.

The correct option is A.

Suggest Corrections

Similar questions

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∣ ∣ ∣ \to a \times \to b - \to a \times \to c ∣ ∣ ∣ =

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Q. let

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$\to a, \to b$ and $\to c$ be three vectors having magnitudes 1, 1 and 2 respectively. If $\to a \times (\to a \times \to c) + \to b = 0$ , then the acute angle between $\to a$ and $\to c$ is

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If →A×→B=→0 and →B×→C=→0, then the angle between →A and →C may be :

The correct option is A 0→A×→B=0 (Given)ABsinθ=0θ=0, . . . . .(1)The angle between →A and →B is zero.→B×→C=0 (Given)BCsinϕ=0ϕ=0. . . . .(2)The angle between →B and →C is zeroFrom the above discussion,The angle between →A and →C is zero.The correct option is A.

If $\to A \times \to B = \to 0$ and $\to B \times \to C = \to 0$ , then the angle between $\to A$ and $\to C$ may be :