Three vectors P- Q- and R- are shown in figure- Let S be any point on the vector R- The distance between the points P and S is b-R- The general relation among vectors P- Q- and S- is

Given,Three vectors P⃗,Q⃗,R⃗ distance =b|R⃗| Since S is the point on R⃗ So, P⃗+ b|R⃗|R⃗ P⃗+ b|R⃗|(R⃗|R|) P⃗+ bR⃗ P⃗+b(Q ...

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Byju's Answer

Standard XII

Mathematics

Definition of Vector

Three vectors...

Question

Three vectors $\to P$ , $\to Q$ and
$\to R$ are shown in figure. Let $S$ be any point on the vector $\to R$ . The distance between the points $P$ and $S$ is $b ∣ \to R ∣$ . The general relation among vectors
$\to P$ , $\to Q$ and $\to S$ is

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Solution

Given,

Three vectors $\to P, \to Q, \to R$

$d i s t a n c e = b | \to R |$

Since $S$ is the point on $\to R$

So,

$\to P + b | \to R | \to R$

$\to P + b | \to R | (\frac{\to R}{| R |})$

$\to P + b \to R$

$\to P + b (Q - \to P)$

$(1 - b) (\to P) + b \to Q$

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Similar questions

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Three vectors →P, →Q and→R are shown in figure. Let S be any point on the vector→R. The distance between the points P and S is b∣→R∣. The general relation among vectors→P, →Q and →S is

Given,Three vectors →P,→Q,→Rdistance=b|→R|Since S is the point on →RSo,→P+b|→R|→R→P+b|→R|(→R|R|)→P+b→R→P+b(Q−→P)(1−b)(→P)+b→Q

Three vectors $\to P$ , $\to Q$ and
$\to R$ are shown in figure. Let $S$ be any point on the vector $\to R$ . The distance between the points $P$ and $S$ is $b ∣ \to R ∣$ . The general relation among vectors
$\to P$ , $\to Q$ and $\to S$ is

Given,

Three vectors $\to P, \to Q, \to R$

$d i s t a n c e = b | \to R |$

Since $S$ is the point on $\to R$

So,

$\to P + b | \to R | \to R$

$\to P + b | \to R | (\frac{\to R}{| R |})$

$\to P + b \to R$

$\to P + b (Q - \to P)$

$(1 - b) (\to P) + b \to Q$