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Let vec a(x)=(sin x) hat i+(cosx) hat j...

Let ` vec a(x)=(sin x) hat i+(cosx) hat j a n d vec b(x)=(cos2x) hat i+(sin2x hat j)` be two variable vectors `(x in R)dot` Then ` vec a(x)a n d vec b(x)` are a. collinear for unique value of `x` b. perpendicular for infinite values of `x` c. zero vectors for unique value of `x` d. none of these

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If vec a=x hat i+2 hat j-z hat k\ and vec b=3 hat i-y hat j+ hat k are two equal vectors, then write the value of x+y+zdot

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CENGAGE ENGLISH-VECTOR ALGEBRA-All Questions
  1. Let vec a , vec ba n d vec c be three non-coplanar vecrors and ve...

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  2. The position vectors of point A ,B ,a n dC are hat i+ hat j+ hat k...

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  3. Let vec a(x)=(sin x) hat i+(cosx) hat j a n d vec b(x)=(cos2x) hat i+...

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  4. If vec a=2 hat i+ hat j+ hat k , vec b= hat i+2 hat j+2 hat k , vec c...

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  5. If vec a , vec ba n d vec c are unit vectors satisfying | vec a- v...

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  6. If vec d= vec axx vec b+ vec bxx vec c+ vec cxx vec a is non-zero vec...

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  7. The vector(s) which is/are coplanar with vectors hat i+ hat j+2 hat...

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  8. Let vec a=- hat i- hat k , vec b=- hat i+ hat ja n d vec c= hat i+2 h...

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  9. Let vec a , vec b ,a n d vec c be vectors forming right-hand traid. L...

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  10. From a point O inside a triangle A B C , perpendiculars O D ,O Ea n dO...

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  11. Find vec axx vec b ,\ if\ vec a=2 hat i+ hat k\ a n d\ vec b= hat i...

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  12. Find the work done by the force F=3 hat i- hat j-2 hat k acrting on ...

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  13. Find the angle between the vectors vec a= hat i+hat j-hat k and vec b=...

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  14. O A B C is regular tetrahedron in which D is the circumcentre of O...

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  15. In the quadrilateral ABCD, the diagonals AC and BD are equal and perpe...

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  16. If vece(1),vece(2),vece(3)and vecE(1),vecE(2),vecE(3) arwe two sets of...

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  17. Find the angle between the vectors vec a= hat i+hat j-hat k and vec b=...

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  18. Given the vectors vec A , vec B ,a n d vec C form a triangle such tha...

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  19. If vec a , vec ba n d vec c are three mutually perpendicular vecto...

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  20. Let a three dimensional vector vec V satisfy the condition, 2 vec ...

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