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G is the centroid of triangle A B Ca...

`G` is the centroid of triangle `A B Ca n dA_1a n dB_1` are rthe midpoints of sides `A Ba n dA C ,` respectively. If `"Delta"_1` is the area of quadrilateral `G A_1A B_1a n d"Delta"` is the area of triangle `A B C ,` then `"Delta"//"Delta"_1` is equal to a.`3/2` b. `3` c. `1/3` d. none of these

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CENGAGE ENGLISH-VECTOR ALGEBRA-All Questions
  1. A vector of magnitude sqrt(2) coplanar with the vecrtor vec a= hat i...

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  2. Let P be a point interior to the acute triangle A B Cdot If P A+P B...

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  3. G is the centroid of triangle A B Ca n dA1a n dB1 are rthe midpoi...

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  4. Points vec a , vec b , vec c ,a n d vec d are coplanar and (sinalpha...

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  5. If vec aa n d vec b are any two vectors of magnitudes 1 and 2, resp...

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  6. If vec a and vec b are any two vectors of magnitudes 2 and 3, respe...

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  7. If vec a\ a n d\ vec b are two vectors such that | vec axx vec b|=3\...

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

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

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

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

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

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  13. 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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  14. Find the absolute value of parameter t for which the area of the ...

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

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

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

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

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

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  20. 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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