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Find a unit vector perpendicular to the ...

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)`.

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The correct Answer is:
`(-hat(i))/(sqrt(3))+(hat(j))/(sqrt(3))+(hat(k))/(sqrt(3))`
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ARIHANT MATHS-PRODUCT OF VECTORS-Exercise For Session 2
  1. 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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  2. Find the values of gamma and mu for which (2hati+6hatj+27hatk)xx(hati+...

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  3. If a=2hat(i)+3hat(j)-hat(k), b=-hat(i)+2hat(j)-4hat(k), c=hat(i)+hat(j...

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  4. Prove that ( vec a.hat i)( vec axx hat i)+( vec a.j)( vec axx hat j)+(...

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  5. If vecaxxvecb=veccxxvecdand vecaxxvecc=vecbxxvecd, show that veca-vecd...

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  6. If ( vec axx vec b)^2+( vec a.vec b)^2=144 and | vec a|=4, then find t...

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  7. If | vec a|=2,\ | vec b|=7\ a n d\ vec axx vec b=3 hat i+2 hat j+6 ha...

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

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  9. If |veca|=sqrt(26), |vecb|=7 and |vecaxxvecb|=35, find veca.vecb

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

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  11. Find a vector of magnitude 15, which is perpendicular to both the vect...

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  12. Let vec a= hat i+4 hat j+2 hat k ,\ \ vec b=3 hat i-\ 2 hat j+7 hat ...

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  13. Let A,B and C be unit vectors . Suppuse that A.B=A.c=O and that the an...

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  14. Find the area of the triangle whose adjacent sides are determined by t...

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  15. Find the area of parallelogram whose adjacent sides are represented by...

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  16. Find the area of the parallelogram whose diagonals are a = 3 hat i + h...

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  17. A force F=2hat(i)+hat(j)-hat(k) acts at point A whose position vector...

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  18. Find the moment of vec F about point (2, -1, 3), where force vec ...

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  19. Forces 2hat(i)+hat(j), 2hat(i)-3hat(j)+6hat(k) and hat(i)+2hat(j)-hat(...

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