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Question

$A = ⎣ ⎡ l_{1} l_{2} l_{3} m_{1} m_{2} m_{3} n_{1} n_{2} n_{3} ⎦ ⎤$ and $B = ⎣ ⎡ p_{1} p_{2} p_{3} q_{1} q_{2} q_{3} r_{1} r_{2} r_{3} ⎦ ⎤$
Where $p_{i}, q_{i}, r_{i}$ are the co-factors of the elements $l_{i}, m_{i}, n_{i}$ for $i = 1, 2, 3$ . If $(l_{1}, m_{1}, n_{1}), (l_{2}, m_{2}, n_{2})$ and $(l_{3}, m_{3}, n_{3})$ are the direction cosines of three mutually perpendicular lines then $(p_{1}, q_{1}, r_{1}), (p_{2}, q_{2}, r_{2})$ and $(p_{3}, q_{()}, r_{3})$ are

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A = ⎣ ⎡ l_{1} l_{2} l_{3} m_{1} m_{2} m_{3} n_{1} n_{2} n_{3} ⎦ ⎤

and

B = ⎣ ⎡ p_{1} p_{2} p_{3} q_{1} q_{2} q_{3} r_{1} r_{2} r_{3} ⎦ ⎤

Where

p_{i}, q_{i}, r_{i}

are the co-factors of the elements

l_{i}, m_{i}, n_{i}

for

i = 1, 2, 3

. If

(l_{1}, m_{1}, n_{1}), (l_{2}, m_{2}, n_{2})

and

(l_{3}, m_{3}, n_{3})

are the direction cosines of three mutually perpendicular lines then

(p_{1}, q_{1}, r_{1}), (p_{2}, q_{2}, r_{2})

and

(p_{3}, q_{()}, r_{3})

are

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Question Text

A = ⎣ ⎡ l_{1} l_{2} l_{3} m_{1} m_{2} m_{3} n_{1} n_{2} n_{3} ⎦ ⎤

and

B = ⎣ ⎡ p_{1} p_{2} p_{3} q_{1} q_{2} q_{3} r_{1} r_{2} r_{3} ⎦ ⎤

Where

p_{i}, q_{i}, r_{i}

are the co-factors of the elements

l_{i}, m_{i}, n_{i}

for

i = 1, 2, 3

. If

(l_{1}, m_{1}, n_{1}), (l_{2}, m_{2}, n_{2})

and

(l_{3}, m_{3}, n_{3})

are the direction cosines of three mutually perpendicular lines then

(p_{1}, q_{1}, r_{1}), (p_{2}, q_{2}, r_{2})

and

(p_{3}, q_{()}, r_{3})

are

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