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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 ka n d vec b=3 ...

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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 adot hat i)( vec axx hat i)+( vec adotj)( vec axx hat...

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  5. If vecaxxvecb=veccxxvecd and vecaxxvecc=vecbxxvecd then show that veca...

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  6. If ( vec axx vec b)^2+( vec adot vec b)^2=144a n d| vec a|=4, then fin...

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  7. If |a|=2,|b|=7 and vec ax vec b=3 hat i+2 hat j+6 hat k , find the...

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  8. Let the vectors vec aa n d vec b be such that | vec a|=3| vec b|=(sqr...

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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 -> a= hat i+4 hat j+2 hat k , -> b=3 hat i-2 hat j+7 hat k and...

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  13. Let A,B and C be the unit vectors . Suppose that A.B=A.C =0 and the a...

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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. What is the area of the parallelogram having diagonals 3hat(i) + hat(j...

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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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