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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= hat i- hat j+ hat k\ a n d\ vec b= hat i+ hat j- hat kdot

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 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.

Find the area of the parallelogram whose adjacent sides are determined by the vectors vec a= hat i- hat j+3 hat k and vec b=2 hat i-7 hat j+ hat k .

Find the unit vector in the direction of the sum of the vectors, vec a=2 hat i+2 hat j-5 hat k and vec b=2 hat i+ hat j+3 hat k .

Find the values 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 the angle between the vectors vec a\ a n d\ vec b where: vec a= hat i+2 hat j- hat k ,\ vec b= hat i- hat j+ hat k

Find the angle between the vectors vec a\ a n d\ vec b where: vec a=2 hat i-3 hat j+ hat k\ a n d\ vec b= hat i+ hat j-2 hat k

CENGAGE ENGLISH-VECTOR ALGEBRA-All Questions
  1. In the quadrilateral ABCD, the diagonals AC and BD are equal and perpe...

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

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

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

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

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

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  7. 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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  8. 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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  9. If vec a , vec b , vec c are unit vectors such that vec a. vec b=0= ...

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

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

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

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

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

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

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

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  17. [(vecaxxvecb) (veccxxvecd) (vecexxvecf)]is equal to (a)[vecavecbvec...

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  18. vec ba n d vec c are non-collinear if vec axx( vec bxx vec c)+( vec a...

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  19. If veca and vecb are unit vectors, then angle between veca ...

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  20. If vec a| vec b , then vector vec v in terms of vec aa n d vec b sa...

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