Vectors Question 164

Question: Find the torque of a force $ \overrightarrow{F}=-3\hat{i}+\hat{j}+5\hat{k} $ acting at the point $ \overrightarrow{r}=7\hat{i}+3\hat{j}+\hat{k} $

[CPMT 1997; CBSE PMT 1997; CET 1998; DPMT 2004]

Options:

A) $ A\times B $

B) A ? B

C) 3A ? 3B

D) All of these

Show Answer

Answer:

Correct Answer: A

Solution:

$ \vec{A}\times \vec{B} $ is a vector perpendicular to plane $ \vec{A} $ and $ \vec{B} $ and hence perpendicular to $ \vec{A}+\vec{B} $ .



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