A particle starts moving from point (2, 10, 1). Displacement for the particle is 8î ? 2? + k?. The final coordinates of the particle is

Question

A particle starts moving from point (2, 10, 1). Displacement for the particle is $8 \hat{i} - 2 \hat{j} + \hat{k}$ . The final coordinates of the particle is

Smart Achievers · Accepted Answer

(1)

$Initial position vector of the particle, {\vec{r}}_{i} = 2 \hat{i} + 10 \hat{j} + \hat{k}$

$Let final position vector of the particle be$

${\vec{r}}_{f} = x \hat{i} + y \hat{j} + z \hat{k}$

$∴$ $Displacement, Δ \vec{r} = {\vec{r}}_{f} - {\vec{r}}_{i}$

$8 \hat{i} - 2 \hat{j} + \hat{k} = x \hat{i} + y \hat{j} + z \hat{k} - (2 \hat{i} + 10 \hat{j} + \hat{k})$

$or x \hat{i} + y \hat{j} + z \hat{k} = 10 \hat{i} + 8 \hat{j} + 2 \hat{k}$

$Hence, the final coordinates of the particle are (10, 8, 2) .$

Solution

Q.
A particle starts moving from point (2, 10, 1). Displacement for the particle is $8 \hat{i} - 2 \hat{j} + \hat{k}$ . The final coordinates of the particle is

1 (10, 8, 2)

2 (8, 10, 2)

3 (2, 10, 8)

4 (8, 2, 10)

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