TS EAMCET · Physics · Mathematics in Physics
The work done in moving an object from origin to a point whose position vector is \(\mathbf{r}=3 \hat{\mathbf{i}}+2 \hat{\mathbf{j}}-5 \hat{\mathbf{k}}\) by a force \(\mathbf{F}=2 \hat{\mathbf{i}}-\hat{\mathbf{j}}-\hat{\mathbf{k}}\) is
- A 1 unit
- B 9 unit
- C 13 unit
- D 60 unit
Answer & Solution
Correct Answer
(B) 9 unit
Step-by-step Solution
Detailed explanation
We know, work done \(W=\mathbf{F} \cdot \mathbf{d}\) Given, force, \(\mathbf{F}=2 \hat{\mathbf{i}}-\hat{\mathbf{j}}-\hat{\mathbf{k}}\), and position vector, \(\mathbf{d}=3 \hat{\mathbf{i}}+2 \hat{\mathbf{j}}-5 \hat{\mathbf{k}}\) Using vector identify…
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