Question

Find the torque of a force ˆ ˆ ˆ F 3i j 5k      acting at the point ˆ ˆ ˆ r 7i 3j k​

Answer 1

Explanation:

Answer

Correct option is

B

14

i

∧

+32

j

∧

+2

k

∧

Given,

r

=−7

i

^

+3

j

^

+

k

^

F

=−3

i

^

+

j

^

+5

k

^

Torque,

τ

=

r

×

F

τ

=14

i

^

+32

j

^

+2

k

^

Answer 2

Answer:

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Explanation:

=  

r

×  

F

=(7  

i

^

+3  

j

^

​

+  

k

^

)(−3  

i

^

+  

j

^

​

+5  

k

^

)

τ

=  

∣

∣

∣

∣

∣

∣

∣

∣

​

 

i

^

 

7

−3

​

 

j

^

​

 

3

1

​

 

k

^

 

1

5

​

 

∣

∣

∣

∣

∣

∣

∣

∣

​

=14  

i

^

−38  

j

^

​

+16  

k

^