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If a=1/(sqrt(10))(3 hat i+ hat k)"and" v...

If `a=1/(sqrt(10))(3 hat i+ hat k)"and" vec b=1/7(2 hat i+3 hat j-6 hat k),` then the value of `(2 vec a- vec b)dot[( vec axx vec b)xx( vec a"+"2 vec b)]` is: (1) `-5` (2) `-3` (3) 5 (4) 3

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(1)/(sqrt(10))(3hat j+hat k) and vec b=(2hat i+3hat j-6hat k) then the value of (2vec a-vec b)*[(vec a xxvec b)xx(vec a+2vec b)] is:

If vec A = 2 hat i + 3 hat j + hat k and vec B = 3 hat i + 2 hat j + 4 hat k , then find the value of (vec A+vec B)xx(vec A-vec B) .

If vec a= hat i+ hat j+ hat k , vec c= hat j- hat k , vec adot vec b=3 and vec ax vec b= vec c , then vec b is equal to

If vec(a) = hat(i) + hat(j) + 2 hat(k) and vec(b) = 3 hat(i) + 2 hat(j) - hat(k) , find the value of (vec(a) + 3 vec(b)) . ( 2 vec(a) - vec(b)) .

If vec a=5hat i-hat j-3hat k and vec b=hat i+3hat j-5hat k then show that the vectors vec a+vec b and vec a-vec b are perpendicular.

If vec a=5hat i-hat j-3hat k and vec b=hat i+3hat j-5hat k then show that the vectors vec a+vec b and vec a-vec b are orthogonal.

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If vec a=5hat i-hat j-3hat k, and vec b=hat i+3hat j-5hat k then show that the vectors vec a+vec b and vec a-vec b are perpendicular.

If vec a=3hat i-hat j and vec b=2hat i+hat j-3hat k, then express vec b in the from vec b=vec b_(1)+vec b_(2), where vec b_(1)||vec a and vec b_(2)perpvec a

If vec(a)= hat(i) - 2hat(j) + 5hat(k), vec(b)= 2hat(i) +hat(j)- 3hat(k) then what is (vec(a)- vec(b)).(3 vec(a) +vec(b)) equal to ?

JEE MAINS PREVIOUS YEAR-VECTOR ALGEBRA-All Questions
  1. Let bar a= hat i+ hat j+ hat k ,""b= hat i- hat j+2 hat k and bar...

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  2. If hat u and hat v are unit vectors and theta is the acute ang...

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  3. The resultant of two forces P N and 3 N is a force of 7 N. If the d...

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  4. The statement pvec(qvecp) is equivalent to (1) pvec(pvecq) (...

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  5. The nonzero verctors vec a , vec b and vec c are related by ...

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  6. The vector vec a=""alpha hat i+2 hat j+""beta hat k lies in the pla...

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  7. If vec u , vec v , vec w are noncoplanar vectors and p, q are real...

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  8. The projections of a vector on the three coordinate axis are 6, 3, ...

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  9. If the vectors vec a= hat i- hat j+2 vec k ,"" vec b=2 hat i+4 hat j+...

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  10. Let vec a= hat j- hat k and vec c= hat i- hat j- hat k . Then vector...

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  11. The vectors vec a and vec b are not perpendicular and vec c and...

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  12. If a=1/(sqrt(10))(3 hat i+ hat k)"and" vec b=1/7(2 hat i+3 hat j-6 hat...

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  13. Let hat a and hat b be two unit vectors. If the vectors vec c= hat ...

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  14. Let ABCD be a parallelogram such that vec A B= vec q , vec A D= vec p...

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  15. If the vectors bar (AB)=3 hat i+4 hat k and bar (AC)=5 hat i-2 hat j...

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  16. If [ vec axx vec b"" vec bxx vec c"" vec cxx vec a]=lambda[ vec a vec ...

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  17. Let vec a , vec b and vec c be three non-zero vectors such that no ...

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  18. Let vec a , vec b"and" vec c be there unit vectors such that vec axx...

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  19. Let hat a=2 hat i+ hat j-2 hat k and vec b= hat i+ hat j . Let vec ...

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