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Statement 1: Vector vec c=5 hat i+7 hat...

Statement 1: Vector ` vec c=5 hat i+7 hat j+2 hat k` is along the bisector of angel between ` vec a= hat i+2 hat j+2 hat ka n d vec b=-8 hat i+ hat j-4 hat kdot` Statement 2: ` vec c` is equally inclined to ` vec aa n d vec bdot` Which of the following statements is/are correct ?

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Statement 1: Vector vec c=-5 hat i+7 hat j+2 hat k is along the bisector of angel between vec a= hat i+2 hat j+2 hat ka n d vec b=8 hat i+ hat j-4 hat kdot Statement 2: vec c is equally inclined to vec a a n d vec b dot

Find vec adot vec b when: vec a= hat i-2 hat j+ hat k\ a n d\ vec b=4 hat i-4 hat j+7 hat k

Find vec adot vec b when: vec a= hat j- hat k\ a n d\ vec b=2 hat i+3 hat j-2 hat k

Find the unit vector in the direction of vec a+ vec b ,\ if\ vec a=2 hat i- hat j+2 hat k\ a n d\ vec b=- hat i+ hat j- hat kdot

Find | vec axx vec b| , if vec a= hat i-7 hat j+7 hat k and vec b=3 hat i-2 hat j+2 hat kdot

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

Write a unit vector in the direction of the sum of the vectors vec a=2 hat i+2 hat j-5 hat k\ a n d\ vec b=2 hat i+ hat j-7 hat kdot

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

If vec a= hat i+ hat j+ hat ka n d vec b= hat i-2 hat j+ hat k , then find vector vec c such that vec adot vec c=2a n d vec axx vec c= vec bdot

CENGAGE ENGLISH-THREE DIMENSIONAL GEOMETRY-All Questions
  1. The equation of a line passing through the point vec a parallel to ...

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  2. A straight line L on the xy-plane bisects the angle between O Xa n dO ...

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  3. Statement 1: Vector vec c=5 hat i+7 hat j+2 hat k is along the bisect...

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  4. The equation of the line x+y+z-1=0, 4x+y-2z+2=0 written in the symmetr...

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  5. The equation of two straight lines are (x-1)/2=(y+3)/1=(z-2)/(-3)a n...

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  6. Statement 1: Lines vec r= hat i+ hat j- hat k+lambda(3 hat i- hat j)a...

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  7. Statement 1: Line (x-1)/1=(y-0)/2=(z2)/(-1) lies in the plane 2x-3y-4z...

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  8. What is the equation of the plane which passes through the z-axis and ...

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  9. Statement 1: let A( vec i+ vec j+ vec k)a n dB( vec i- vec j+ vec k) b...

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  10. Statement 1: Let theta be the angle between the line (x-2)/2=(y-1)/(-3...

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  11. If the volume of tetrahedron A B C D is 1 cubic units, where A(0,1,...

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  12. A rod of length 2 units whose one ends is (1, 0, -1) and other end to...

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  13. The equation of the plane which is equally inclined to the lines (x...

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  14. Which of the following lines lie on the plane x+2y-z+4=0? a. (x-1)...

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  15. The equations of the plane which passes through (0,0,0) and which i...

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  16. The x-y plane is rotated about its line of intersection with the y-...

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  17. Consider the planes 3x-6y+2z+5=0a n d4x-12+3z=3. The plane 67 x-162 y+...

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  18. A variable plane x/a+y/b+z/c=1 at a unit distance from origin cuts the...

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  19. Let P=0 be the equation of a plane passing through the line of inte...

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  20. The equation of the line x+y+z-1=0, 4x+y-2z+2=0 written in the symmetr...

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