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If vecA = ( 1,1,1) and vecC= (0, 1,-1) a...

If `vecA = ( 1,1,1) and vecC= (0, 1,-1)` are given vectors the vector `vecB` satisfying the equations `vecA xx vecB = vecC and vecA.vecB = 3` is ________.

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The correct Answer is:
`5/3hatk + 2/3hatj + 2/3hatk`
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VMC MODULES ENGLISH-VECTORS -JEE ADVANCED (ARCHIVE)
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  2. Let O be the origin and let PQR be an arbitrary triangle. The point S ...

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  3. Let O be the origin and vec(OX) , vec(OY) , vec(OZ) be three unit vec...

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  4. Let O be the origin and vec(OX) , vec(OY) , vec(OZ) be three unit vec...

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  5. The components of a vector veca along and perpendicular to a non-zero ...

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  6. A, B C and D are four points in a plane with position vectors, veca, v...

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  7. Let vecA , vecB and vecC be vectors of legth , 3,4and 5 respectively. ...

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  8. If vecb and vecc are any two mutually perpendicular unit vectors and v...

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  9. Find a unit vector pependicular to the plane determined by the points ...

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  10. the area of the triangle whose vertices are A ( 1,-1,2) , B ( 1,2, -1)...

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  11. Let vec(OA) =veca, vec(OB) = 10veca + 2vecb and vec(OC) =vecb where , ...

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  12. If the vectors ahati+hatj+hatk, hati+bhatj+hatk, hati+hatj+chatk(a!=1,...

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  13. If vecA,vecB,vecC are non-coplanar vectors than ( vecA . vecB xx vecC...

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  14. If |(a,a^2,1+a^3),(b,b^2,1+b^3),(c,c^2,1+c^3)|=0 and vectors (1,a,a^2)...

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  15. let veca , vecb and vecc be three vectors having magnitudes 1, 1 and 2...

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  16. A non vector veca is parallel to the line of intersection of the plane...

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  17. The vector(s) which is /are coplanar with vectors hati +hatj + 2hatk a...

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  18. Let vecb= 4 hati + 3hatj and vecc be two vectors perpendicular to each...

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  19. If vecA = ( 1,1,1) and vecC= (0, 1,-1) are given vectors the vector ve...

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  20. Consider the cube in the first octant with sides OP,OQ and OR of lengt...

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