The points with position vectors 60 -3 - 40 -8 - ai -52 - are collinear- ifA- a-40B- a-40C- None of theseD- a-20

The correct option is A a = 40 Three points A,B,C are collinear, if A⃗B⃗= 20 î 11 ĵ and A⃗C⃗=(a 60) î 55 ĵ, are parallel. A⃗B⃗||A⃗C⃗ ⇒a 60/ 20= 55/ 11 ⇒ a ...

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Standard IX

Mathematics

Collinear Vectors

The points wi...

Question

The points with position vectors $60^i + 3^j, 40^i - 8^j, a^i - 52^j$ are collinear, if

a = -40

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a = 40

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a = 20

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None of these

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Solution

The correct option is A
a = -40

Three points A,B,C are collinear, if $\to A B = - 20^i - 11^j$ and $\to A C = (a - 60)^i - 55^j$ , are parallel.
$\to A B | | \to A C \Rightarrow \frac{a - 60}{- 20} = \frac{- 55}{- 11} \Rightarrow a = - 40$

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Similar questions

The points with position vectors $60^i + 3^j, 40^i - 8^j, a^i - 52^j$ are collinear, if

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Q. If points A (60

\hat{i}

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\hat{i}

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(c) 20
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The points with position vectors 60^i+3^j, 40^i−8^j,a^i−52^j are collinear, if

The correct option is A a = -40 Three points A,B,C are collinear, if →AB=−20^i−11^j and →AC=(a−60)^i−55^j, are parallel. →AB||→AC⇒a−60−20=−55−11⇒a=−40

The points with position vectors $60^i + 3^j, 40^i - 8^j, a^i - 52^j$ are collinear, if

The correct option is A
a = -40

Three points A,B,C are collinear, if $\to A B = - 20^i - 11^j$ and $\to A C = (a - 60)^i - 55^j$ , are parallel.
$\to A B | | \to A C \Rightarrow \frac{a - 60}{- 20} = \frac{- 55}{- 11} \Rightarrow a = - 40$