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What is the torque of the force vecF=3ha...

What is the torque of the force `vecF=3hati-2hatj+4hatk` acting at a point `vecr=2hati+3hatj+5hatk` about the origin?

Text Solution

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`vec tau = vec r xx vecF = |(hati,hatj,hatk),(2,3,5),(3,-2,4)|`
`tau = (12 - (-10)) hati + (15 - 8) hatj + (-4 -9) hatk `
` tau = 22 hati + 7 hatj - 13 hatk `
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Knowledge Check

  • The coordinates of the point where the line vecr = (6hati - hatj - 3hatk) + t(-hati + 4hatk) meets the plane vecr. (hati + hatj - hatk) = 3 are

    A
    (2,1,0)
    B
    (7,-1,-7)
    C
    (1,2-6)
    D
    (5,-1,1)

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