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If the vector product of a constant vect...

If the vector product of a constant vector ` vec O A` with a variable vector ` vec O B` in a fixed plane `O A B` be a constant vector, then the locus of `B` is a. a straight line perpendicular to ` vec O A` b. a circle with centre `O` and radius equal to `| vec O A|` c. a straight line parallel to ` vec O A` d. none of these

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CENGAGE PUBLICATION-VECTOR ALGEBRA-All Questions
  1. If vec a and vec b are any two vectors of magnitudes 2 and 3, respe...

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  2. If vec a\ a n d\ vec b are two vectors such that | vec axx vec b|=sq...

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  3. If the vector product of a constant vector vec O A with a variable ve...

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  4. Let vec u , vec va n d vec w be such that | vec u|=1,| vec v|=2a n d|...

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  5. If the two adjacent sides of two rectangles are represented by vecto...

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  6. Let P ,Q ,R and S be the points on the plane with position vectors ...

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  7. vec u , vec v and vec w are three non-coplanar unit vecrtors and alp...

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  8. If vec a=a1 hat i+a2 hat j+a3 hat k ; vec b=b1 hat i+b2 hat j+b3 hat...

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  9. Find the absolute value of parameter t for which the area of the ...

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  10. The condition for equations vec rxx vec a= vec ba n d vec rxx vec c...

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  11. If aa n db are nonzero non-collinear vectors, then [ vec a vec b hat...

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  12. ( vec a+ vec b)dot( vec b+ vec c)xx( vec a+ vec b+ vec c)= a. [ vec ...

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  13. A vector of magnitude 10 along the normal to the curve 3x^2+8x y+2y^2-...

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  14. If a( vecalphaxx vecbeta)+b( vecbetaxx vecgamma)+c( vecgammaxx vecalph...

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  15. If ( vec axx vec b)xx( vec bxx vec c)= vec b ,w h e r e vec a , vec b ...

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  16. If vec a , vec ba n d vec c are three non coplanar vectors, then ( ...

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  17. If vec x+ vec cxx vec y= vec aa n d vec y+ vec cxx vec x= vec b ,w h ...

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  18. If vec aa n d vec b are two unit vectors incline at angle pi//3 , ...

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  19. Value of [ vec axx vec b , vec axx vec c , vec d] is always equal to...

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  20. Let V be the volume of the parallelopiped formed by the vectors vec a ...

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