If PQ - 2 - - - - k- and P - - - - - k- then Q is

We know, PQ = OQ OP ⇒ 2 î + ĵ k̂ = nbsp;OQ nbsp; (î ĵ + k̂) ⇒OQ = ( 2 î + ĵ k̂ ) + (î ĵ + k̂) ⇒OQ = 3 î ...

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Standard XII

Mathematics

Intersection of Sets

If PQ = 2 î +...

Question

If $- - \to P Q = 2^i +^j -^k$ and $\to P =^i -^j +^k$ then $\to Q$ is

2^i

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- 2^i

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3^i

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- 3^i

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Solution

The correct option is C $3^i$
We know, $- - \to P Q = - - \to O Q - - - \to O P$
$\Rightarrow 2^i +^j -^k = - - \to O Q - (^i -^j +^k)$
$\Rightarrow - - \to O Q = (2^i +^j -^k) + (^i -^j +^k)$
$\Rightarrow - - \to O Q = 3^i$

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Intersection of Sets

Standard XII Mathematics

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If −−→PQ=2^i+^j−^k and →P=^i−^j+^k then →Q is

The correct option is C 3^iWe know, −−→PQ=−−→OQ−−−→OP ⇒2^i+^j−^k=−−→OQ−(^i−^j+^k) ⇒−−→OQ=(2^i+^j−^k)+(^i−^j+^k) ⇒−−→OQ=3^i

If $- - \to P Q = 2^i +^j -^k$ and $\to P =^i -^j +^k$ then $\to Q$ is

The correct option is C $3^i$
We know, $- - \to P Q = - - \to O Q - - - \to O P$
$\Rightarrow 2^i +^j -^k = - - \to O Q - (^i -^j +^k)$
$\Rightarrow - - \to O Q = (2^i +^j -^k) + (^i -^j +^k)$
$\Rightarrow - - \to O Q = 3^i$