Let a-2-3k-b-2-3-k- and c-2- -1k- lf c- is parallel to plane of a-b- then -

The correct option is A 0 (a⃗×b⃗).c⃗ =0 Hence a⃗×b⃗ =(î 2ĵ+3k̂)×(2î+3ĵ k̂) = 7î+7ĵ+7k̂ ( 7î+7ĵ+7k̂).(λî+ĵ+(2λ 1)k̂) = 7λ ...

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Sum of n Terms

Let a⃗=î-2ĵ...

Question

Let $\to a =^i - 2^j + 3^k, \to b = 2^i + 3^j -^k$ and $\to c = λ^i +^j + (2 λ - 1)^k$ . lf $\to c$ is parallel to plane of $\to a, \to b$ , then $λ =$

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

\to b = 2^i - 4^j - 3^k, \to c = -^i + 2^j + 2^k

\to a + \to b + \to c = 4^i - 4^j

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

\to a + 2 \to b - 3 \to c

\sqrt{78}

\to a =^i - 2^j + 3^k

\to b = 2^i + 3^j -^k

\to c = λ^i +^j + (2 λ - 1)^k

λ

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

\to b = - 3^i +^k

\to c =^i + 2^j + 3^k

A)

[\to a \times \to b

\to b \times \to c

\to c \times \to a]

B)

[\to a + \to b

\to b + \to c

\to c + \to a]

C)

[\to a

\to b

\to c]

[\to a

\to b

\to c]^{- 1}

D)

[\to a - \to b

\to b - \to c

\to c - \to a]

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

\to c =^i + 3^j - 2^k

\to a \times (\to b \times \to c) = p^i + q^j + r^k

p + q + r =

\to a = 2^i + 3^j - 4^k, \to b =^i +^j +^k

\to c = 4^i + 3^k

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

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