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

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`

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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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if vec a= 5 hat i -hat j -3 hat k and vec b=hat i+3 hat j - 5 hat k , Find vec a . vec b =?

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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CENGAGE PUBLICATION-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 bisec...

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

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

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

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

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

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

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

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  14. The equations of the plane which passes through (0,0,0) and which is...

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

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

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

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

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  19. about to only mathematics

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  20. A point P moves on a plane x/a+y/b+z/c=1. A plane through P and perpen...

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