If p - q and r are three non-coplanar vectors such that p - q - r - - s and q - r - s - - p- then p -q -r -s is equal to

The correct option is A (α+1)s Given #160; p+q+r=α s — (1) q+r+s=β p — (2) p+q+r+s #160; =α s+s ( from 1) =(α+1)s ...

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Byju's Answer

Standard XII

Mathematics

Addition of Vectors

If p , q ...

Question

If $p$ , $q$ and $r$ are three non-coplanar vectors such that $p + q + r = α s$ and $q + r + s = β p$ . then $p + q + r + s$ is equal to

(α + 1) s

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α p

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β q

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(α + β) r

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Solution

The correct option is A $(α + 1) s$
Given
$p + q + r = α s$ ----(1)
$q + r + s = β p$ ----(2)

$p + q + r + s$ $= α s + s$ ( from 1)
$= (α + 1) s$

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