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If vec a= hat i+ hat j+ hat k , vec b=4...

If ` vec a= hat i+ hat j+ hat k , vec b=4 hat i+3 hat j+4 hat k` and ` vec c= hat i+alpha hat j+beta hat k` are linearly dependent vectors & `| vec c|` = `sqrt(3)` , then ordered pair `(alpha,beta)` is (a)`(1,1)` (b) `(1,-1)` (c) `(-1,1)` (d) `(-1,-1)`

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CENGAGE PUBLICATION-VECTOR ALGEBRA-All Questions
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  2. If vec a , vec b are two non-collinear vectors, prove that the poi...

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  3. If vec a= hat i+ hat j+ hat k , vec b=4 hat i+3 hat j+4 hat k and ve...

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  4. The number of distinct real values of lambda , for which the vectors...

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  5. If vec A O+ vec O B= vec B O+ vec O C , then A ,B and C are (where O...

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  6. Find a vector magnitude 5 units, and parallel to the resultant of t...

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  7. Show that the points A(1,-2,-8),B(5,0,-2)a n dC(11,3,7) are collinear,...

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  8. The position vectors of Pa n dQ are 5 hat i+4 hat j+a hat k and - hat ...

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  9. Given three points are A(-3,-2,0),B(3,-3,1)a n dC(5,0,2)dot Then find ...

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  10. Let A B C D be a p[arallelogram whose diagonals intersect at P and ...

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  11. If A B C D is quadrilateral and Ea n dF are the mid-points of A Ca n d...

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  12. If A B C D is a rhombus whose diagonals cut at the origin O , then p...

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  13. Let D ,Ea n dF be the middle points of the sides B C ,C Aa n dA B , re...

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  14. Consider the set of eight vectors V[ahati+bhatj+chatk:a,b,c in {1-1}]....

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  15. Find the direction cosines of the vector joining the points A(1,2,-...

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  16. Find the direction cosines of the vector hat i+2 hat j+3 hat kdot

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  17. The median AD of the triangle ABC is bisected at E and BE meets AC at ...

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  18. Vectors vec a and vec b are non-collinear. Find for what value of...

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  19. i. If vec a , vec b and vec c are non-coplanar vectors, prove th...

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  20. Prove that a necessary and sufficient condition for three vectors ...

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