If angle between the lines 1x−2=2y−3=−2z+5 and 2x−y−kz=λ is cos−1(322) then find k (A) 53 (B) 53 (C) 35 (D) 35

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If angle between the lines {{{x}-{2}}}{{1}}={{{y}-{3}}}{{2}}={

Question

If angle between the lines $\frac{x - 2}{1} = \frac{y - 3}{2} = \frac{z + 5}{- 2}$ and $2 x - y - k z = λ$ is $cos^{- 1} (\frac{2 2}{3})$ then find $k$ (A) $\frac{3}{5}$ (B) $\frac{3}{5}$ (C) $\frac{5}{3}$ (D) $\frac{5}{3}$

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Sofia Discussed

If angle between the lines

\frac{x - 2}{1} = \frac{y - 3}{2} = \frac{z + 5}{- 2}

and

2 x - y - k z = λ

cos^{- 1} (\frac{2 2}{3})

then find

k

(A)

\frac{3}{5}

(B)

\frac{3}{5}

(C)

\frac{5}{3}

(D)

\frac{5}{3}

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Question Text

If angle between the lines

\frac{x - 2}{1} = \frac{y - 3}{2} = \frac{z + 5}{- 2}

and

2 x - y - k z = λ

cos^{- 1} (\frac{2 2}{3})

then find

k

(A)

\frac{3}{5}

(B)

\frac{3}{5}

(C)

\frac{5}{3}

(D)

\frac{5}{3}