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The vectors 2hati-lamdahatj+3lamdahatk a...

The vectors `2hati-lamdahatj+3lamdahatk and (1+lamda)hati-2lamdahatj+hatk` include an acute angle for (A) all values of m (B) `lamdalarr2` (C) lamdagt-12` (D) `lamdaepsilon [-2,-1/2]`

A

All real m

B

`m lt -2 " or " m gt -(1)/(2)`

C

`m=-(1)/(2)`

D

`m in [-2,-(1)/(2)]`

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AAKASH INSTITUTE-VECTOR ALGEBRA-ASSIGNMENT (SECTION-B)
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  2. A unit vector in the xy-plane that makes an angle of pi/4 with the vec...

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  3. The vectors 2hati-lamdahatj+3lamdahatk and (1+lamda)hati-2lamdahatj+ha...

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  4. Let veca,vecb and vecc are three vectors such that |veca|=3, |vecb|=3,...

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  5. If veca=hati+hatj+hatk, vecb=4hati+3hatj+4hatk and vecc=hati+alphahatj...

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  7. find the area of a parallelogram whose diagonals are veca=3hati+hatj-2...

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  8. If veca and vecb are two unit vectors, then the vector (veca+vecb)xx(v...

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  9. Let veca=2hati+2hatj+hatk and vecc is a vector such that |vecaxxvecc|^...

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  10. ABCD is a quadrilateral with vec(AB) = veca, vec(AD) = vecb and vec(A...

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  13. If vecpxxvecq=vecr and vecp.vecq=c, then vecq is

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  14. If veca=hati+hatj+hatk, veca.vecb=1 and vecaxxvecb=hatj-hatk then vecb

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  16. If vecr=x(vecaxxvecb)+y(vecbxxvecc)+z(veccxxveca) and [veca vecb v...

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  17. If the verticles of a tetrahedron have the position vectors vec0, hati...

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  19. The unit vector veca and vecb are perpendicular, and the unit vector v...

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