AP EAMCET · PHYSICS · Mathematics in Physics
If \(\overrightarrow{\mathrm{F}}=(4 \hat{\mathrm{i}}-10 \hat{\mathrm{j}}) \mathrm{N}\) and \(\overrightarrow{\mathrm{r}}=(-5 \hat{\mathrm{i}}-3 \hat{\mathrm{j}}) \mathrm{m}\), then \((\overrightarrow{\mathrm{r}} \times \overrightarrow{\mathrm{F}})\) is
- A \((-20 \hat{\mathrm{i}}+3 \hat{\mathrm{j}}) \mathrm{Nm}\)
- B \(62 \hat{\mathrm{k}} \mathrm{Nm}\)
- C \(10 \sqrt{13} \mathrm{Nm}\)
- D \(38 \mathrm{Nm}\)
Answer & Solution
Correct Answer
(B) \(62 \hat{\mathrm{k}} \mathrm{Nm}\)
Step-by-step Solution
Detailed explanation
\begin{aligned} & \overrightarrow{\mathrm{F}}=(4 \hat{\mathrm{i}}-10 \hat{\mathrm{j}}) \mathrm{N} \\ & \overrightarrow{\mathrm{r}}=(-5 \hat{\mathrm{i}}-3 \hat{\mathrm{j}}) \mathrm{m} \\ & \overrightarrow{\mathrm{r}} \times…
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