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The value of a, for which the points A, ...

The value of a, for which the points A, B, C with position vectors `2hat(i)-hat(j)+hat(k), hat(i)-3hat(j)-5hat(k) and ahat(i)-3hat(j)+hat(k)` respectively are the vertices of a right angled triangles with `C=(pi)/(2)` are

A

`-2` and `-1`

B

`-2` and 1

C

2 and `-1`

D

2 and 1

Text Solution

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The correct Answer is:
D
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VMC MODULES ENGLISH-VECTORS -JEE MAIN (ARCHIVE)
  1. Let veca=hati+hatj+hatk, vecb=hati-hatj+hat2k and vecc=xhati+(x-2)hatj...

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  2. If (veca xx vecb)xx vec c=veca xx (vecb xx vec c), where veca, vecb a...

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  3. The value of a, for which the points A, B, C with position vectors 2ha...

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  4. If C is the middle point of AB and P is any point outside AB, then

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  5. The perpendicular distance between the line vecr = 2hati-2hatj+3hatk+l...

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  6. If the vectors veca, vecb and vecc form the sides, BC , CA and AB, res...

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  7. Let veca=veci-veck,vecb=xveci+vecj+(1-x)veck and vecc=yveci+xvecj+(1+x...

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  8. Let a,b,c be distinct non-negative numbers. If the vectors ahati+ahatj...

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  9. If veca,vecb,vecc are non-coplanar vectors and lambda is a real number...

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  10. The vector hati +xhatj+3hatk is rotated through an angle theta and is ...

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  11. A particle acted upon by constant forces 4hati+hatj-3hatk and 3hati + ...

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  12. If veca, vecb and vec are non-coplanar vectors and lamda is a real num...

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  13. Given, two vectors are hati - hatj and hati + 2hatj, the unit vector c...

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  14. Let veca,vecb and vecc be non-zero vectors such that no two are collin...

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  15. A tetrahedron has vertices O (0,0,0), A(1,2,1,), B(2,1,3) and C(-1,1,2...

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  16. If |(a,a^2,1+a^3),(b,b^2,1+b^3),(c,c^2,1+c^2)|=0 and vectors (1,a,a^2)...

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  17. If vecu,vecv and vecw are three non coplanar vectors then (vecu+vecv-v...

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  18. Consider points A,B,C annd D with position vectors 7hati-4hatj+7hatk,h...

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  19. Let A(3,0,-1), B(2,10,6) and C(1,2,1) be the vertices of a triangle an...

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  20. If a unit vector vec a makes angle pi//3 with hat i ,pi//4 with hat...

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