Let a-2i-j-2k- and b-i-j- If c- is a vector such that a-c- - c- - - c-a- -2-2 and the angle between a-b- and c- is 30- then - a-b- -c- - is equal to

The correct option is A 32 | ( #160;a⃗×b⃗ )×c⃗ | = |a⃗× #160;b⃗| |c⃗| sin30^∘ Now,We need #160; |a⃗×b⃗| #160;and #160; |c⃗| ...

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Applications of Cross Product

Let a⃗=2i⃗+...

Question

Let $\to a = 2 \to i + \to j - 2 \to k$ and $\to b = \to i + \to j$ . 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 $30^{\circ}$ , then $∣ ∣ (\to a \times \to b) \times \to c ∣ ∣$ is equal to

\frac{2}{3}

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\frac{3}{2}

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2

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3

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Similar questions

\to a = \to i + \to j + \to k, \to a = 2 \to i + \to k, \to c = 2 \to i + \to j + \to k; \to d = \to i + \to j + 2 \to k

(\to a \times \to b) \times (\to c \times \to d) = [\to a \to b \to d] \to c - [\to a \to b \to c] \to d

\to a = \to i - 2 \to j - 3 \to k, \to b = 2 \to i + \to j - \to k, \to c = \to i + 3 \to j - 2 \to k

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

\to a = \to i + \to j + \to k, \to c = \to j - \to k

\to b

\to a \times \to b = \to c

\to a . \to b = 3

\to b

\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^{o}

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

| \to a | = 1, ∣ ∣ \to b ∣ ∣ = \sqrt{2}

| \to c | = \sqrt{3}

\to a ⊥ (\to b + \to c)

\to b ⊥ (\to c + \to a)

\to c ⊥ (\to a + \to b)

∣ ∣ \to a + \to b + \to c ∣ ∣

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