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A particle is acted upon by the forces v...

A particle is acted upon by the forces `vecF_(1)=2hati+ahatj-3hatk , vecF_(2)=5hati+chatj-bhatk, vecF_(3)=b hati+5hatj-7hatk, vecF_(4)=chati+6hatj-a hatk`. Find the values of the constants a, b, c in order that the particle will be in equilibrium.

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The correct Answer is:
a= -7, b = -3, c = -4
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MOTION-VECTOR -Exercise - 2
  1. The resultant of two forces, one double the other in magnitude is perp...

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  2. A particle is moving on a circular path with constant speed v then the...

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  3. A man moves towards 3m north then 4 m towards east and finally 5 m tow...

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  4. A particle is acted upon by the forces vecF(1)=2hati+ahatj-3hatk , vec...

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  5. A vector vec(A) of length 10 units makes an angle of 60^(@) with a vec...

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  6. The component of a vector is

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  7. The magnitude of the vector product of two vectors vecA and vecB may b...

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  8. Three vectors vecA, vecB and vecC satisfy the relation vecA. vecB=0 an...

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  9. The angle between the two vectors -2hati+3hatj+hatk and hati+2hatj-4...

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  10. A body constrained to move in y direction is subjected to a force give...

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  11. If the angle between the unit vectors hata " and " hatb is 60^(@), the...

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  12. A vector vecA points vertically upward and vecB points towards north. ...

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  13. What is the angle between (vecP+vecQ) and (vecPxxvecQ)

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  14. Which of the following is not true ? If vecA=3hati+4hatj and vecB=6h...

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  15. For the any two vecrtors vecA and vecB, if vecA.vecB=|vecAxxvecB|, the...

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  16. If vector vec(A)=hat(i)+2hat(j)+4hat(k) and vec(B)=5hat(i) represent t...

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  17. A vector vecF(1) is along the positive X-axis. If its vectors product ...

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  18. The unit vector along vector hati + hatj + hatk is ………..

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  19. When two forces of magnitude P and Q are perpendicular to each other, ...

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  20. If the four forces as shown are in equilibrium Express vecF(1)& vecF(2...

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