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The number of distinct real values of al...

The number of distinct real values of `alpha`, for which the vectors `-lamda^(2) hati +hatj+hatk, hati -lamda^(2)hatj +hatk and hati +hatj -lamda^(2)hatk` are coplanar is

A

0

B

1

C

2

D

3

Text Solution

Verified by Experts

The correct Answer is:
C
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VMC MODULES ENGLISH-VECTORS -JEE ADVANCED (ARCHIVE)
  1. If veca, vecc, vecc and vecd are unit vectors such that (vecaxx vecb)....

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  2. The edges of a parallelopiped are of unit length and are parallel to ...

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  3. The number of distinct real values of alpha, for which the vectors -la...

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  4. Find the value of a so that the volume of the parallelopiped formed b...

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  5. Let A be vector parallel to line of intersection of planes P1 and P2. ...

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  6. The vector(s) which is /are coplanar with vectors hati +hatj + 2hatk a...

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  7. Let vecu = u(1)hati + u(2)hatj +u(3)hatk be a unit vector in R^(3) a...

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  8. Let PQR be a triangle . Let veca=overline(QR),vecb = overline(RP) and ...

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  9. Let O be the origin and let PQR be an arbitrary triangle. The point S ...

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  10. Let O be the origin and vec(OX) , vec(OY) , vec(OZ) be three unit vec...

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  11. Let O be the origin and vec(OX) , vec(OY) , vec(OZ) be three unit vec...

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  12. The components of a vector veca along and perpendicular to a non-zero ...

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  13. A, B C and D are four points in a plane with position vectors, veca, v...

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  14. Let vecA , vecB and vecC be vectors of legth , 3,4and 5 respectively. ...

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  15. If vecb and vecc are any two mutually perpendicular unit vectors and v...

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  16. Find a unit vector pependicular to the plane determined by the points ...

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  17. the area of the triangle whose vertices are A ( 1,-1,2) , B ( 1,2, -1)...

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  18. Let vec(OA) =veca, vec(OB) = 10veca + 2vecb and vec(OC) =vecb where , ...

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  19. If the vectors ahati+hatj+hatk, hati+bhatj+hatk, hati+hatj+chatk(a!=1,...

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  20. If vecA,vecB,vecC are non-coplanar vectors than ( vecA . vecB xx vecC...

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