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Let alpha, beta and gamma be distinct r...

Let `alpha, beta and gamma` be distinct real numbers. The points whose position vector's are `alpha hat i + beta hat j+gamma hat k; beta hat i+gamma hat j+alpha hat k and gamma hat i+alpha hat j+beta hat k` a. are collinear. b. forms an equilateral triangle. c. forms a scalene triangle. d. forms a right angled triangle.

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CENGAGE ENGLISH-VECTOR ALGEBRA-All Questions
  1. If the vectors vecalpha=a hat i+a hat j+c hat k , vecbeta= hat i+ hat...

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  2. The points with position vectors 60 i+3j ,40 i-8j ,a i-52 j are col...

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  3. Let alpha, beta and gamma be distinct real numbers. The points whose ...

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  4. Let vec a= vec i- vec k , vec b=x vec i+ vec j+(1-x) vec k and vec c...

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  5. In the DeltaOAB,M is the mid-point of AB,C is a point on OM, such that...

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  6. If vec a , vec b are two non-collinear vectors, prove that the poi...

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

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

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

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

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

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

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

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

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

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

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

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