Let A-2i-k- B-i-j-k- and C-4i-3j-7k- Determine a vector R-satisfying R-B-C-B- and R-A-0

The correct option is A î 8ĵ+2k̂ Given, R⃗×B⃗=C⃗×B⃗⇒R⃗×B⃗ C⃗×B⃗=0 ⇒ (R⃗ C⃗)×B⃗=0⇒ R = C⃗+kB⃗ Also given, R⃗·A⃗ =0⇒ k = C⃗·A⃗B⃗·A⃗= 153= ...

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Unit Vectors

Let A⃗=2i⃗+...

Question

Let $\to A = 2 \to i + \to k, \to B = \to i + \to j + \to k,$ and $\to C = 4 \to i - 3 \to j + 7 \to k$ Determine a vector $\to R$ satisfying $\to R \times \to B = \to C \times \to B$ and $\to R . \to A = 0$

-^i - 8^j + 2^k

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-^i - 2^j + 8^k

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Solution

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Similar questions

\to A = 2 \to i + \to k, \to B = \to i + \to j + \to k

\to C = 4 \to i - 3 \to j + 7 \to k

\to R

\to R \times \to B = \to C \times \to B

\to R \cdot \to A = 0

\to r = 3 \to i + 2 \to j - 5 \to k

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

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

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

\to r = λ \to a + μ \to b + ν \to c

\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 = 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 = \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

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