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Question

A constant force F=3i+2j4k is applied at the point A(1,2,2). Find the vector moment of F about the point B(2,1,3).


A

6i7j+k

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B

-2i+6j-10k

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C

-4i-2j-5k

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D

Noneoftheabove

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Solution

The correct option is A

6i7j+k


Step 1. Given data:

A(1,-2,2) andB(2,-1,3)

Force, F=3i+2j4k

Step 2. Finding resultant of point AandB.

Resultant, R=BA

R=OA-OB

R=i-2j+2k-2i-j+3k

R=-i-j-k

Step 3. Calculating vector moment of F about the point B,

τ=RxF

=i^j^k^-1-1-132-4

=6i-7j+k

Hence, correct option is (A).


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