Let a-2-2k- and b-k- If c is a vector such that a-c-c- -c-a-2-2 and the angle between a-b and c is 300- then -a-b-c-

The correct option is A 32 |c a|=2√(2) squaring both sides, we get ⇒|c|^2 2|c|+9=8 ⇒|c|^2 2|c|+1=0 ⇒(|c| 1)^2=0 ∴|c|=1 a×b = ...

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Angle between Two Lines

Let a=2î+ĵ-...

Question

Let $\to a = 2^i +^j - 2^k$ and $\to b =^i +^k$ . If $\to c$ is a vector such that $\to a . \to c = ∣ ∣ \to c ∣ ∣, ∣ ∣ \to c - \to a ∣ ∣ = 2 \sqrt{2}$ and the angle between $(\to a \times \to b)$ and $\to c$ is $30^{0}$ , then $∣ ∣ ∣ (\to a \times \to b) \times \to c ∣ ∣ ∣ =$

\frac{2}{3}

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\frac{3}{2}

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2

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\to a = 2^i +^j - 2^k a n d \to b =^i +^j .

\to c

\to a . \to c = | \to c |, | \to c - \to a | = 2 \sqrt{2}

(\to a \times \to b) a n d \to c i s 30^{\circ}, t h e n | (\to a \times \to b) \times \to c |

\to a = 2^i +^j - 2^k a n d \to b =^i +^j .

\to c

\to a . \to c = | \to c |, | \to c - \to a | = 2 \sqrt{2}

(\to a \times \to b) a n d \to c i s 30^{\circ}, t h e n | (\to a \times \to b) \times \to c |

\to a = 2^i +^j - 2^k

\to b =^i +^j

\to c

\to a . \to c = | \to c |, | \to c - \to a | = 2 \sqrt{2}

(\to a \times \to b)

\to c

30^{0}

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

\to a = 2^i +^j - 2^k, \to b =^i +^j

^c

\to a . \to c = | \to c |, | \to a + \to c | = 2 \sqrt{3}

\to a \times \to b

\to c

30^{\circ}

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

\to a = 2^i +^j - 2^k

\to b =^i + \to j

\to c

\to a . c = | \to c |, | \to c - \to a | = 2 \sqrt{2}

\to a \times \to b

\to c i s 30^{\circ}

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

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