If a-3-6-k-b-1-4-3k- c-3-4-12k- then the length of projection of a-b- on c is

The correct option is C 14 (a×b)=22i+8+18k Hence, (a×b).(c) =(22i+8+18k)(3i 4j 12k) =22 32 216 = 182 Hence the value of the given ...

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Vector Component

If a⃗=3î-6î...

Question

If $\to a = 3^i - 6^i -^k, \to b = - 1^i + 4^i - 3^k, \to c = 3^i - 4^i - 12^k$ , then the length of projection of $\to a \times \to b$ on $¯ ¯ c$ is

\frac{250}{13}

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5 \sqrt{2}

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\frac{250}{\sqrt{13}}

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14

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

\to c = - 1^i + 2^j + 2^k

\to a + \to b + \to c =

\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 -^j +^k

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

\to v

\to a

\to b

\to c

\frac{2}{\sqrt{3}}

\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) | =

\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]

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