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If {{a}}{a}{n}{d}{{b}} are two non-collinear vectors, show tha

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If $a a n d b$ are two non-collinear vectors, show that points $l_{1} a + m_{1} b, l_{2} a + m_{2} b$ and $l_{3} a + m_{3} b$ are collinear if $∣ l_{1} l_{2} l_{3} m_{1} m_{2} m_{3} 111 ∣ = 0 .$

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a a n d b

are two non-collinear vectors, show that points

l_{1} a + m_{1} b, l_{2} a + m_{2} b

and

l_{3} a + m_{3} b

are collinear if

∣ l_{1} l_{2} l_{3} m_{1} m_{2} m_{3} 111 ∣ = 0 .

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Question Text

a a n d b

are two non-collinear vectors, show that points

l_{1} a + m_{1} b, l_{2} a + m_{2} b

and

l_{3} a + m_{3} b

are collinear if

∣ l_{1} l_{2} l_{3} m_{1} m_{2} m_{3} 111 ∣ = 0 .

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