Let a-2-k-b-k- and c-4-3-7k- be three vectors- The vector which satisfies r-b-c-b- and r-a-0 is

The correct option is D 1î 8ĵ+2k̂ (r⃗ c⃗)×b⃗= 0 (r⃗ c) ∥b⃗ r⃗= c+kb⃗ r⃗ a⃗= c⃗ a+kb⃗ a⃗ 0= 8+7+k(3) k= 5 r⃗= 1̂ 8ĵ+2k ...

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Applications of Cross Product

Let a⃗=2î+k...

Question

Let $\to a = 2^i +^k, \to b =^i +^j +^k$ and $\to c = 4^i - 3^j + 7^k$ be three vectors. The vector which satisfies $\to r \times \to b = \to c \times \to b$ and $\to r . \to a = 0$ is

^i + 8^j + 2^k

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- 1^i - 8^j + 2^k

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- 1^i - 8^j - 2^k

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^i + 8^j - 2^k

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

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

\to a + \to b

\to b + \to c

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

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

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

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

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

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

\to a \times (\to b \times \to c) = (1 + α)^i + β (1 + α)^j + r (1 + α) (1 + β)^k

\to a = 2^i + 4^j - 5^k, \to b =^i +^j +^k, \to c =^j + 2^k

\to a + \to b + \to c

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