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Find the vectors of magnitude 6 which ar...

Find the vectors of magnitude 6 which are perpendicular to both vectors
`veca = 4hati- hatj + 3hatk and vecb =-2hati+hatj-2hatk` .

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The correct Answer is:
`pm2(-hati+2hatj+2hatk)`
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Find the vectors of magnitude 10sqrt(3) that are perpendicular to the plane which contains hati+2hatj+hatk and hati+3hatj+4hatk

Find the vector of magnitude 3, bisecting the angle between the vectors veca=2hati+hatj-hatk and vecb=hati-2hatj+hatk .

Find a vector of magnitude 5 units and parallel to the resultant of the vectors veca=2hati+3hatj-hatkandvecb=hati-2hatj+hatk .

Find the vectors whose length is 5 and which are _|_^(r) to the vectors veca=3hati+hatj-4hatk and vecb=6hati+6hatj-2hatk .

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NCERT TAMIL-VECTOR ALGEBRA - I -EXERCISE 8.5
  1. Find the vectors of magnitude 6 which are perpendicular to both vector...

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  2. The value of vec(AB) + vec(BC) + vec(DA)+vec(CD) is

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  3. If veca + 2vecb and 3veca + mvecb are parallel, then the value of m i...

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  4. The unit vector parallel to the resultant of the vectors hati + hatj -...

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  5. A vector vec(OP) makes 60^@ and 45^@ with the positive direction of ...

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  6. If vec(BA) = 3hati+ 2hatj + hatk and the position vector of B is hati...

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  7. A vector makes equal angle with the positive direction of the coordina...

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  8. The vectors veca - vecb , vecb - vecc , vecc - veca are

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  9. If ABCD is a parallelogram, then vec(AB)+ vec(AD)+ vec(CB)+vec(CD) is...

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  10. One of the diagonals of parallelogram ABCD with veca and vecb as adja...

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  11. If veca ,vecb are the position vectors A and B, then which one of the...

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  12. If veca, vecb , vecc are the position vectors of three collinear point...

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  13. If vecr = (9 veca + 7hatb)/16 then the point P whose position vector v...

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  14. If lamda hati + 2lamda hatj + 2lamda hatk is a unit vector , then the ...

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  15. Two vertices of a triangle have position vectors3hati+4hatj-4hatk and...

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  16. If |veca + vecb| = 60 , |veca - vecb| = 40 and |vecb| = 46 , then |ve...

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  17. If veca and vecb having same magnitude and angle between them is 60^@ ...

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  18. The value of theta in(0,pi/2) for which the vectors veca= (sin theta) ...

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  19. If |veca| = 13 |vecb| = 5 and veca.vecb = 60^@ then |vecaxxvecb| is

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  20. Vectors veca and vecb are inclined at an angle theta = 120^@ . If |vec...

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  21. If veca xxvecb are two vectors of magnitude 2 and inclined at an angle...

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