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The number of distinct real values of `lambda` , for which the vectors `-lambda^2 hat i+ hat j+k , hat i-lambda^2 hat j+ hat ka n d hat i+ hat j-lambda^2 hat k` are coplanar is a. zero b. one c. two d. three

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The value of lambda for which the vectors 2 hat(i) + lambda hat(j) + hat(k) and hat(i) + 2 hat(j) + 3 hat(k) are perpendicular is

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. i. If vec a , vec b a n d vec c are non-coplanar vectors, prove...

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

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  20. If vec a , vec b , vec ca n d vec d are distinct vectors such that ...

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