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Let veca=hati+2hatj-3hatk and vecb=2hati...

Let `veca=hati+2hatj-3hatk` and `vecb=2hati-3hatj+5hatk`. If `vecrxxveca=vecbxxvecr,vecr.(alphahati+2hatj+hatk)=3` and `vecr.(2hati+5hatj-alphahatk)=-1,ainR`, then the value of `alpha+|vecr|^(2)` is equal to :

A

15

B

11

C

9

D

13

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JEE MAINS PREVIOUS YEAR-JEE MAIN 2021-Mathematic section A
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  2. Let veca=hati+2hatj-3hatk and vecb=2hati-3hatj+5hatk. If vecrxxveca=ve...

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  3. Let (x,y,z) be an arbitrary point lying on a plane P which passes thro...

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  4. Let f be a real valued function, defined on R-{-1, 1} and given by f(x...

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  5. Let A denote the event that a 6-digit integer formed by 0, 1, 2, 3, 4,...

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  6. Let C, be the curve obtained by the solution of differential equation ...

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  7. The least value of |z| where z is complex number which satisfies the i...

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  8. Let C(1) be the curve obtained by the solution of differential equatio...

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  9. Let A(-1, 1), B(3, 4) and C(2,0) be given three points. A line y=mx,mg...

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  10. Let f:StoS where S=(0,oo) be a twice differentiable function such that...

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  11. Let the lengths of intercepts on x-axis and y-axis made by the circle ...

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  12. Given that the inverse trigonometric functions take principal values o...

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  13. If the foot of the perpendicular from point (4, 3,8) on the line L(1):...

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  14. Let A = (1,2, 3, 4, 5, ..., 30) and ~=be an equivalence relation on Ax...

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  15. Consider a rectangle ABCD having 5, 7, 6, 9 points in the interior of ...

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  16. Let P(x)=x^(2)+bx+c be a quadratic polynomial with real coefficients s...

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  17. Consider the integral I=int(0)^(10)([x]e^([x]))/(e^(x-1))dx, where [x]...

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  18. Let alphainR be such that the function f(x)={{:((cos^(-1)(1-{x}^(2))si...

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  19. The maximum value of f(x)=|(sin^(2)x,1+cos^(2)x,cos2x),(1+sin^(2)x,cos...

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  20. If the points of intersections of the ellipse (x^(2))/(16)+(y^(2))/(b^...

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