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 ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

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

No worries! We‘ve got your back. Try BYJU‘S free classes today!

3^i +^j + 2^k

No worries! We‘ve got your back. Try BYJU‘S free classes today!

3^i +^j + 4^k

No worries! We‘ve got your back. Try BYJU‘S free classes today!

^i + 4^j + 4^k

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

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

Suggest Corrections

Similar questions

Q. If

\to u = 2^i + 2^j -^k

and

\to v = 6^i - 3^j + 2^k

the unit vector perpendicular to

\to u

and

\to v

is:

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 $B$ ?

\to a = - 2^i +^j +^k, \to b =^i + 5^j a n d \to c = 4^i + 4^j + 2^k

the projection of the vector

3 \to a - 2 \to b

on the vector

\to c

If Sameer moves from point $A$ having position vector $3^i + 2^j + 5^k$ to point $B$ having position vector $6^i + 3^j + 7^k$ , what is his displacement vector?

Q. The sum and difference of two vectors

\to A

and

\to B

are

\to A + \to B = 2^i + 6^j +^k; \to A - \to B = 4^i + 2^j - 11^k

. Find the magnitude of each vector and their scalar product

\to A . \to B

Join BYJU'S Learning Program

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 $B$ ?