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Two lines in 3-D are {x}={a}{y}+{b},{z}={c}{y}+{d} and {x}={a}

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Two lines in 3-D are $x = a y + b$ , $z = c y + d$ and $x = a^{^{'}} z + b^{'}$ , $y = c^{'} x + d^{'}$ are perpendicular to each other then which of the following condition is true? (a) $a a^{'} + c + c^{'} = 0$ (b) $c c^{'} + a + a^{'} = 0$ (c) $a a^{'} + c c^{'} = 0$ (d) $a a^{'} + c c^{'} + 1 = 0$

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Amelia Discussed

Two lines in 3-D are

x = a y + b

z = c y + d

and

x = a^{^{'}} z + b^{'}

y = c^{'} x + d^{'}

are perpendicular to each other then which of the following condition is true? (a)

a a^{'} + c + c^{'} = 0

(b)

c c^{'} + a + a^{'} = 0

(c)

a a^{'} + c c^{'} = 0

(d)

a a^{'} + c c^{'} + 1 = 0

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Question Text	Two lines in 3-D are $x = a y + b$ , $z = c y + d$ and $x = a^{^{'}} z + b^{'}$ , $y = c^{'} x + d^{'}$ are perpendicular to each other then which of the following condition is true? (a) $a a^{'} + c + c^{'} = 0$ (b) $c c^{'} + a + a^{'} = 0$ (c) $a a^{'} + c c^{'} = 0$ (d) $a a^{'} + c c^{'} + 1 = 0$
Answer Type	Video solution: 1
Upvotes	150