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Find a unit vector perpendicular to both...

Find a unit vector perpendicular to both the vectors `hat i-2 hat j+3 hat k` and `hat i+2 hat j-hat k`.

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Find a unit vector perpendicular to both the vectors 4 hat i-hat j+3 hat k and -2 hat i+hat j-2 hat k .

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Find a unit vector perpendicular to each of the vectors hat i+2 hat j+3 hat k and -3 hat i-2 hat j+hat k . Also find the area of the parallelogram determined by these vectors.

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

Find a unit vector perpendicular to the plane of two vectors a=hat(i)-hat(j)+2hat(k) and b=2hat(i)+3hat(j)-hat(k) .

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

Find the angle between the vectors 3 hat i-2 hat j -6 hat k and 4 hat i-hat j-8 hat k .

Find a vector of magnitude 6 units which is at right angles to both the vectors 2 hat i- hat j +2 hat k and 4 hat i- hat j+3 hat k

Find all vectors of magnitude 10 sqrt 3 that are perpendicular to the plane of vectors vec a=hat i+2 hat j+hat k and vec b=-hat i+3 hat j+4 hat k .

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PRADEEP PUBLICATION-VECTORS-EXERCISE
  1. Given |quad vec a|=10,|quad vec b|=2 and vec a *vec b=12, find | vec a...

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  2. Define vec a*vec b where vec a and vec b are any two vectors. Find ve...

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  3. Find a unit vector perpendicular to both the vectors hat i-2 hat j+3 h...

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  4. Find a unit vector perpendicular to both the planes of vec a and vec b...

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  5. Find a unit vector perpendicular to the plane of two vectors a=hat(i)-...

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  6. Find the equation of a plane through the points (3,-1,2), (1,-1,-3) an...

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  7. Find a unit vector perpendicular to each of the vectors hat i+2 hat j+...

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  8. Find the sine of the angle between the vectors : (3,0,3) and (1,2,-7)

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  9. Find the sine of the angle between the vectors : 2 hat i+ 4 hat j+ 4 ...

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  10. Determine the area of the parallelogram whose adjacent sides are the ...

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  11. Find the area of the parallelogram having two adjacent sides OA and OB...

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  12. Find the area of triangle PQR where P,Q,R have respectively coordinate...

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  13. Find the area of the triangle formed by O,A,B where : vec OA= hat i+ ...

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  14. Find the area of the triangle formed by O,A,B where : vec OA= 3 hat i...

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  15. If vec axx vec b= vec cxxvec d and vec axx vec c= vec bxxvec d, show t...

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  16. Find the area of the triangle ABC where A,B,C are the points (a,0,0), ...

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  17. Find the area of the triangle having the points A(1,1,1), B(1,2,3) and...

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

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  19. Calculate the product ((hat i- 2 hat j+ 3 hat k) cross (2 hat i+ hat j...

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  20. If vec a= hat i- 2 hat j+ hat k, vec b= 2 hat i - hat j+ hat k and vec...

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