The displacement of particle from a point having vector 2- - 4- to another point having vector 5- - 1- is

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The displacem...

Question

The displacement of particle from a point having vector $2^i + 4^j$ to another point having vector $5^i + 1^j$ is

3

units

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3 \sqrt{2}

units

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5 \sqrt{3}

units

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5

units

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Solution

The correct option is B $3 \sqrt{2}$ units
The displacement will be magnitude of the difference $(5 ˆ i + 1 ˆ j) - (2 ˆ i + 4 ˆ j) .$
$= (5 - 2) ˆ i + (1 - 4) ˆ j$
$= 3 ˆ i - 3 ˆ j$
the magnitude is $\sqrt{3^{2} + 3^{2}} = 3 \sqrt{2}$
Hence,
option $(B)$ is correct answer.

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The displacement of particle from a point having vector 2^i+4^j to another point having vector 5^i+1^j is

The correct option is B 3√2 unitsThe displacement will be magnitude of the difference (5ˆi+1ˆj)−(2ˆi+4ˆj).=(5−2)ˆi+(1−4)ˆj=3ˆi−3ˆjthe magnitude is √32+32=3√2Hence,option (B) is correct answer.

The displacement of particle from a point having vector $2^i + 4^j$ to another point having vector $5^i + 1^j$ is

The correct option is B $3 \sqrt{2}$ units
The displacement will be magnitude of the difference $(5 ˆ i + 1 ˆ j) - (2 ˆ i + 4 ˆ j) .$
$= (5 - 2) ˆ i + (1 - 4) ˆ j$
$= 3 ˆ i - 3 ˆ j$
the magnitude is $\sqrt{3^{2} + 3^{2}} = 3 \sqrt{2}$
Hence,
option $(B)$ is correct answer.