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find the angle between the vectors` vec a= hat i+ hat j - hat k and vec b = hat i - hat j + hat k`

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Find the vector of magnitude 3, bisecting the angle between the vectors vec a=2 hat i+ hat j- hat k and vec b= hat i-2 hat j+ hat kdot

find the angle between the vectors vec a= 3 hat i +2 hat k and vec b = 2 hat i -2 hat j + 4 hat k

Find the cosine of the angle between the vectors vec ( a ) = 3 hat (i) + 2 hat (k) and vec(b) = 2 hat (i) - 2 hat (j) + 4 hat (k)

Find the area of a parallelogram whose adjacent sides are given by the vectors vec a=3 hat i+ hat j+4 hat k and vec b= hat i- hat j+ hat k .

find the value of x,y and z so that the vectors vec a= x hat i+ 2 hat j+z hat k and vec b = 2 hat i +y hat j +hat k are equal

Find a vector magnitude 5 units, and parallel to the resultant of the vectors vec a=2 hat i+3 hat j- hat k and vec b= hat i-2 hat j+ hat kdot

Find the scalar product of the following pair of vectors and the angle between them : vec(a) = 2 hat (i) + 3 hat (j) - 4 hat (k) and vec(b) = hat (i) + 2 hat (j) + hat (k)

Find the angle between the vectors hat i-2 hat j+3 hat k and 3 hat i-2 hat j+ hat kdot

A vector of magnitude sqrt(2) coplanar with the vector vec a= hat i+ hat j+2 hat k and vec b= hat i+2 hat j+ hat k , and perpendicular to the vector vec c= hat i+ hat j+ hat k , is a. - hat j+ hat k b. hat i- hat k c. hat i- hat j d. hat i- hat j

Find the resultant of vectors vec a= hat i- hat j+2 hat k and vec b= hat i+2 hat j-4 hat kdot Find the unit vector in the direction of the resultant vector.

CENGAGE PUBLICATION-VECTOR ALGEBRA-All Questions
  1. Find the work done by the force F=3 hat i- hat j-2 hat k acrting on ...

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  2. Prove that [[ vec a+ vec b, vec b+ vec c, vec c+ vec a]]=2[ [vec a, ve...

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  3. find the angle between the vectors vec a= hat i+ hat j - hat k and ve...

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

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

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  6. If vece(1),vece(2),vece(3)and vecE(1),vecE(2),vecE(3) are two sets of ...

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

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

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

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

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  11. If vec a=3 hat i- hat j-4 hat k , vec b=2 hat i+4 hat j-3 hat k and ...

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  12. Let vec O A= vec a , hat O B=10 vec a+2 vec ba n d vec O C= vec b ,w ...

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  13. If vec a , vec b , vec c are unit vectors such that vec a. vec b=0= ...

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  14. If vec x , vec y are two non-zero and non-collinear vectors satisfy...

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  15. Let vec a=alpha hat i+2 hat j-3 hat k , vec b=alpha hat i+2alpha hat ...

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  16. Let vec a , vec b a n d vec c be three vectors having magnitudes 1...

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  17. Two vectors in space are equal only if they have equal component in ...

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  18. Let vec a= hat i- hat j , vec b= hat j- hat ka n d vec c= hat k- hat ...

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  19. If vectors vec aa n d vec b are two adjacent sides of a parallelogr...

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  20. If vec axx( vec bxx vec c) is perpendicular to ( vec axx vec b)xx vec...

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