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Vectors vec a=-4 hat i+3 hat k ; vec b=...

Vectors ` vec a=-4 hat i+3 hat k ; vec b=14 hat i+2 hat j-5 hat k` are laid off from one point. Vector ` hat d` , which is being laid of from the same point dividing the angle between vectors ` vec aa n d vec b` in equal halves and having the magnitude `sqrt(6),` is a. ` hat i+ hat j+2 hat k` b. ` hat i- hat j+2 hat k` c. ` hat i+ hat j-2 hat k` d. `2 hat i- hat j-2 hat k`

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CENGAGE PUBLICATION-VECTOR ALGEBRA-All Questions
  1. Given three vectors vec a=6 hat i-3 hat j , vec b=2 hat i-6 hat ja n ...

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  2. Let us define the length of a vector a hat i+b hat j+c hat k a s|a|+...

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  3. Vectors vec a=-4 hat i+3 hat k ; vec b=14 hat i+2 hat j-5 hat k are l...

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  4. Vectors vec a= hat i+2 hat j+3 hat k , vec b=2 hat i- hat j+ hat k an...

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  5. The position vectors of the vertices A ,B ,a n dC of a triangle are ...

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  6. A ship is sailing towards the north at a speed of 1.25 m/s. The cur...

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  7. Given four points P1,P2,P3a n dP4 on the coordinate plane with origin ...

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  8. The vectors vec a and vec b are non collinear. If vec p = (x+4y)veca+ ...

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  9. If vec a , vec b and vec c are any three non-coplanar vectors, then...

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  10. If vec a , vec ba n d vec c are three non-zero non-coplanar vectors, ...

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  11. Let a, b, c be distinct non-negative numbers an the vectors ahati+aha...

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  12. A pyramid with vertex at point P has a regular hexagonal base A B C ...

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  13. ABCD is a parallelogram. If L and M be the middle points of BC and CD,...

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  14. A ,B ,C and D have position vectors vec a , vec b , vec c and vec d ,...

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  15. If vec aa n d vec b are two unit vectors and theta is the angle betwe...

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  16. A B C D is a quadrilateral. E is the point of intersection of th...

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  17. If vectors vec A B=-3 hat i+4 hat ka n d vec A C=5 hat i-2 hat j+4 ha...

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  18. A B C D parallelogram, and A1a n dB1 are the midpoints of sides B Ca n...

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  19. The position vectors of the points Pa n dQ with respect to the ori...

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  20. A point O is the centre of a circle circumscribed about a triangleA ...

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