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If a(vecalpha xx vecbeta) + b(vecbeta xx...

If `a(vecalpha xx vecbeta) + b(vecbeta xx vecgamma) +c(vecgamma xx vecalpha)=veco`, where a, b, c are non-zero scalars, then the vectors `vecalpha, vecbeta, vecgamma` are

A

parallel

B

non-coplanar

C

coplanar

D

mutually perpendicular

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If a( vecalphaxx vecbeta)+b( vecbetaxx vecgamma)+c( vecgammaxx vecalpha)=0 and at least one of a ,ba n dc is nonzero, then vectors vecalpha, vecbetaa n d vecgamma are a. parallel b. coplanar c. mutually perpendicular d. none of these

If vecalpha+ vecbeta+ vecgamma=a vecdeltaa n d vecbeta+ vecgamma+ vecdelta=b vecalpha, vecalphaa n d vecdelta are non-colliner, then vecalpha+ vecbeta+ vecgamma+ vecdelta equals a. a vecalpha b. b vecdelta c. 0 d. (a+b) vecgamma

if vecalpha||( vecbetaxx vecgamma) , then ( vecalphaxxbeta).(vecalphaxx vecgamma) equals to a. | vecalpha|^2( vecbeta.vecgamma) b. | vecbeta|^2( vecgamma. vecalpha) c. | vecgamma|^2( vecalpha. vecbeta) d. | vecalpha|| vecbeta|| vecgamma|

[( vec axx vec b)xx( vec bxx vec c)( vec bxx vec c)xx( vec cxx vec a)( vec cxx vec a)xx( vec axx vec b)] is equal to (where vec a , vec ba n d vec c are nonzero non-coplanar vector) a. [ vec a vec b vec c]^2 b. [ vec a vec b vec c]^3 c. [ vec a vec b vec c]^4 d. [ vec a vec b vec c]

If vectors vecalpha,vecbeta, vecgamma are such that vecalpha+vecbeta+vec gamma=vec0 and |veca|=2, |vecbeta|=3 and |vecgamma|=4 , then the value of 2(vecalpha*vecbeta+vecbeta*vecgamma+vecgamma*vecalpha) is -

Prove that vec R+([ vec Rdot( vecbetaxx( vecbetaxx vecalpha))] vecalpha)/(| vecalphaxx vecbeta|^2) +([ vec Rdot( vecalphaxx( vecalphaxx vecbeta))] vecbeta)/(| vecalphaxx vecbeta|^2) =([ vec R vecalpha vecbeta]( vecalphaxx vecbeta))/(| vecalphaxx vecbeta|^2)

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2021-MULTIPLE CHOICE QUESTION
  1. The lim(x to oo) ((3x-1)/(3x+1))^(4x) equals

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  2. The area bounded by the parabolas y=4x^(2), y=(x^(2))/(9) and the stra...

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  3. If a(vecalpha xx vecbeta) + b(vecbeta xx vecgamma) +c(vecgamma xx veca...

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  4. If the tangent at the point P with co-ordinates (h, k) on the curve y^...

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  6. Three unequal positive numbers a, b, c are such that a, b, c are in G....

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  7. The determinant |(a^(2)+10,ab, ac),(ab, b^(2)+10, bc),(ac, bc, c^(2)...

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  8. Let R be the real line. Let the relations S and T on R be defined by ...

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  9. The plane lx + my = 0 is rotated about its line of intersection with t...

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  10. The points of intersection of two ellipses x^(2)+2y^(2) -6x-12y+20=0 a...

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  11. Let I= int(pi//4)^(pi//3) (sinx)/(x)dx. Then

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  12. If |z+i|-|z-1|=|z|-2=0 for a complex number z, then z =

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  13. |(x, 3x+2,2x-1),(2x-1,4x,3x+1),(7x-2,17x+6,12x-1)|=0 is true for

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  14. The remainder when 7^(7^(7^(...^(7))))(22 times 7) is divided by 48 is

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  15. int dx/((2+x)sqrt(1+x) =

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  16. A plane meets the co-ordinate axes at the points A, B, C respectively ...

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  17. Let P be a variable point on a circle C and Q be a fixed point outside...

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  18. underset(nrarrinfty)lim (sqrt1+sqrt2+.......+sqrt(n-1))/(nsqrtn) = ?

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  19. Let f(x)={(0", if"-1 le x lt 0),(1", if "x =0),(2", if "0 lt x le1):} ...

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  20. The greatest and least values of f(x)=tan^(-1)x -(1)/(2) ln x on [(1)...

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