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Q.

Assertion (A) : The torque about the point 3i¯-j¯+3k¯ of a force represented by 4i¯+2j¯+k¯ through the point

5i¯+2j¯+4k¯ is i¯+2j¯-8k¯

Reason (R) : The torque of a force F about a point P is r¯×F¯ where r¯ is the vector from the point P to any point a¯ on the line of action of F¯

Which of the following is correct ?

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a

Both (A) and (R) are true and (R)  is not the correct explanation of (A)

b

(A) is true, (R) is false

c

(A) is false, (R) is true

d

Both (A) and (R) are true and (R)  is the correct explanation of (a)

answer is A.

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Detailed Solution

OA=3i-j+3k       OB=5i+2j+4kAB=2i+3j+k       & F=4i+3j+kF×AB=ijk421231=i(-1)-j(2)+k(8)

Torque =F×AB=-i-2j+8k  both are Correct

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