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

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Find the cosine of the angle between the vectors 4 hat i-3 hat j+3 hat k\ a n d\ 2 hat i- hat j- hat kdot

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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

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Find angle theta between the vectors veca= hat i+ hat j- hat k and vecb= hat i- hat j+ hat k .

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 angle between the line vec r = (2 hat i-hat j +3 hat k)+ lambda (3 hat i-hat j+2 hat k ) and the plane vec r.(hat i + hat j + hat k)=3

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CENGAGE ENGLISH-VECTOR ALGEBRA-All Questions
  1. If three unit vectors vec a , vec b , and vec c satisfy vec a+ vec b...

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  2. If | vec a|+| vec b|=| vec c| and vec a+ vec b= vec c , then find the ...

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

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  4. If vec r. hat i= vec r.hat j= vec r.hat ka n d| vec r|=3, then find t...

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  5. If vec a , vec b ,a n d vec c are non-zero vectors such that vec a...

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  6. Find the projection of vector hat i+3 hat j+7 hat k on the vector ...

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  7. If theta is th angle between the unit vectors a and b , then prove ...

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  8. Let veca , vecb , and vecc be three non-coplanar unit vectors...

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  9. Given unit vectors hat m , hat na n d hat p such that angel between ...

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  10. Let vec a , vec b ,a n d vec c be non-coplanar vectors and let the...

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  11. Vector vec O A= hat i+2 hat j+2 hat k turns through a right angle ...

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  12. The base of the pyramid A O B C is an equilateral triangle O B C with ...

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  13. Find | vec axx vec b| , if vec a= hat i-7 hat j+7 hat k and vec b=3 h...

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  14. Let the vectors vec a and vec b be such that | vec a|=3 and | vec b|=...

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  15. Show that ( vec a- vec b)xx( vec a+ vec b)=2( vec axx vec b)dot

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  16. Let vec a= hat i+4 hat j+2 hat k , vec b=3 hat i-2 hat j+7 hat ka n d...

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  17. If A ,Ba n dC are the vetices of a triangle A B C , then prove sine...

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  18. Using cross product of vectors , prove that (sin A+B)-sin A cosB + cos...

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  19. Find a unit vector perpendicular to the plane determined by the poin...

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  20. If vec a and vec b are two vectors, then prove that ( vec axx vec b...

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