Find the vector r- which is perpendicular to a-2-5k- and b-2-3-k- and r-2-k-8-0

The correct option is C r⃗= 13î+11ĵ+7k̂ Vector perpendicular to a⃗=î 2ĵ+5k̂ and b⃗=2î+3ĵ k̂ is a⃗×b⃗= 13î+11ĵ+7k̂ Let r⃗=t( 13î+11ĵ+7 ...

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Question

Find the vector $\to r$ which is perpendicular to $\to a =^i - 2^j + 5^k$ and $\to b = 2^i + 3^j -^k$ and $\to r . (2^i +^j +^k) + 8 = 0$

\to r = - 13^i - 11^j + 7^k

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\to r = 13^i - 7^j + 11^k

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\to r = - 13^i + 11^j + 7^k

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\to r = 13^i + 7^j + 11^k

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Similar questions

\to r = \to a + λ \to l

\to r = \to b + μ \to m

\to a = 5^i +^j + 2^k,

\to b = -^i + 7^j + 8^k,

\to l = - 4^i + 7^j -^k

\to m = - 2^i - 5^j - 7^k

\to A \times \to B

\to A = 3^i -^j + 3^k

\to B = - 2^i + 3^j + 4^k

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

\to c = 4^i - 3^j + 7^k

\to r \times \to b = \to c \times \to b

\to r . \to a = 0

\to r = 3^i + 2^j - 5^k, \to a = 2^i -^j +^k, \to b =^i + 3^j - 2^k

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

\to r = l \to a + m \to b + n \to c

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

\to r

\to r \times \to a = \to b \times \to a

\to r \times \to b = \to a \times \to b

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