If a displacement vector of AB is - 2k- and point A having a position vector 2-5- 6k- then find the position vector of B -

Given, AB=î+ĵ+ nbsp;2k̂ nbsp;B=? A=2î+5ĵ+ 6k̂ nbsp; displacement vector : AB=A B ⇒ B=A AB ⇒ B=(2 1)î+(5 1)ĵ+(6 2)k̂ ⇒ B=î+4ĵ+ 4k̂ ...

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Standard XII

Physics

Introduction

If a displace...

Question

If a displacement vector of $A B$ is $^i +^j + 2^k$ and point $A$ having a position vector $2^i + 5^j + 6^k$ , then find the position vector of $B$ ?

3^i +^j + 3^k

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3^i +^j + 2^k

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3^i +^j + 4^k

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^i + 4^j + 4^k

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Solution

The correct option is D $^i + 4^j + 4^k$
Given, $- - \to A B =^i +^j + 2^k$
$\to B = ?$
$\to A = 2^i + 5^j + 6^k$

displacement vector :
$- - \to A B = \to A - \to B$
$\Rightarrow \to B = \to A - - - \to A B$
$\Rightarrow \to B = (2 - 1)^i + (5 - 1)^j + (6 - 2)^k$
$\Rightarrow \to B =^i + 4^j + 4^k$

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If a displacement vector of $A B$ is $^i +^j + 2^k$ and point $A$ having a position vector $2^i + 5^j + 6^k$ , then find the position vector of $B$ ?

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If a displacement vector of AB is ^i+^j+2^k and point A having a position vector 2^i+5^j+6^k, then find the position vector of B ?

The correct option is D ^i+4^j+4^kGiven, −−→AB=^i+^j+2^k →B=? →A=2^i+5^j+6^k displacement vector : −−→AB=→A−→B ⇒ →B=→A−−−→AB ⇒ →B=(2−1)^i+(5−1)^j+(6−2)^k ⇒ →B=^i+4^j+4^k

If a displacement vector of $A B$ is $^i +^j + 2^k$ and point $A$ having a position vector $2^i + 5^j + 6^k$ , then find the position vector of $B$ ?