If Sameer moves from point A having position vector 2-4- 2k- to point B having position vector 6-8- 3k- what is his displacement vector-

From definition, the displacement vector (S) = r_B r_A where, r represents position vector. Hence, nbsp; S= (6î+8ĵ+ 3k̂) ( 2î+4ĵ+ 2k̂) = 4î+4ĵ+ k̂ ...

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Byju's Answer

Standard XII

Physics

Subtraction of a Vector

If Sameer mov...

Question

If Sameer moves from point $A$ having position vector $2^i + 4^j + 2^k$ to point $B$ having position vector $6^i + 8^j + 3^k$ , what is his displacement vector?

3^i +^j - 3^k

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4^i + 4^j +^k

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4^i - 4^j -^k

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3^i -^j + 3^k

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Solution

The correct option is B $4^i + 4^j +^k$
From definition,
the displacement vector ( $\to S$ ) = ${\to r}_{B} - {\to r}_{A}$
where, $\to r$ represents position vector.
Hence,
$\to S = (6^i + 8^j + 3^k) - (2^i + 4^j + 2^k)$
$= 4^i + 4^j +^k$

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Similar questions

Q. If Sameer moves from point

A

having position vector

2^i + 4^j + 2^k

to point

B

having position vector

6^i + 8^j + 3^k

, what is his displacement vector?

Q. Constant forces

\to P =^i - 2^j + 3^k, \to Q = -^i + 3^j -^k

and

\to R = 2^i - 4^j + 3^k

act on a particle. The work done when the particle is displaced from a point

A

with position vector

4^i - 3^j - 2^k

to the point

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with position vector

6^i +^j - 3^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 $B$ ?

Q. Constant forces

P = 2^i - 5^i + 6^k

and

4 Q = -^i + 2^i -^k

act on a particle. Determine the work done when the particle is displaced from point

A

with position vector

4^i - 3^i - 2^k

to a point

B

with position vector

6^i +^i - 3^k

Q. The displacement of particle from a point having vector

2^i + 4^j

to another point having vector

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If Sameer moves from point A having position vector 2^i+4^j+2^k to point B having position vector 6^i+8^j+3^k, what is his displacement vector?

The correct option is B 4^i+4^j+^kFrom definition, the displacement vector (→S) = →rB−→rA where, →r represents position vector. Hence, →S=(6^i+8^j+3^k)−(2^i+4^j+2^k) =4^i+4^j+^k

If Sameer moves from point $A$ having position vector $2^i + 4^j + 2^k$ to point $B$ having position vector $6^i + 8^j + 3^k$ , what is his displacement vector?

The correct option is B $4^i + 4^j +^k$
From definition,
the displacement vector ( $\to S$ ) = ${\to r}_{B} - {\to r}_{A}$
where, $\to r$ represents position vector.
Hence,
$\to S = (6^i + 8^j + 3^k) - (2^i + 4^j + 2^k)$
$= 4^i + 4^j +^k$