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Find the unit vector in the direction of...

Find the unit vector in the direction of vector ` vec (PQ)`, where `P` and `Q` are the points `(1,2,3)` and `(4,5,6)`, respectively.

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CENGAGE ENGLISH-VECTOR ALGEBRA-All Questions
  1. Show that the point A , B and C with position vectors vec a =3 hat i ...

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  2. If 2vec(AC)=3vec(CB), then prove that 2vec(OA)+3vec(OB)=5vec(OC) where...

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  3. Find the unit vector in the direction of vector vec (PQ), where P and...

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  4. For given vector, vec a = 2 hat i j +2 hat k and vec b = - hat i + ...

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  5. If the projections of vector vec a on x -, y - and z -axes are 2, ...

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  6. Find a vector in the direction of the vector 5 hat i - hat j + 2 h...

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  7. If vec a , vec b , vec c , vec d are the position vector of point A ,...

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  8. Show that the points A(6,-7,0),B(16 ,-19 ,-4),C(0,3,-6) and D(2,-5,10)...

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  9. Statement 1: The direction cosines of one of the angular bisectors ...

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  10. Statement 1: In DeltaA B C , vec (A B)+ vec (BC)+ vec (C A)=0 State...

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  11. Statement 1: If vec ua n d vec v are unit vectors inclined at an angl...

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  12. Statement 1: If cosalpha,cosbeta,a n dcosgamma are the direction cosi...

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  13. A vector has components p and 1 with respect to a rectangular Cartesia...

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  14. Statement 1 : If three point P, Q and R have position vectors veca, ve...

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  15. In a four-dimensional space where unit vectors along the axes are h...

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  16. Let A B C be a triangle, the position vectors of whose vertices are -1...

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  17. If non-zero vectors vec a and vec b are equally inclined to coplanar ...

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  18. If A(-4,0,3) and B(14 ,2,-5), then which one of the following points l...

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  19. Prove that the sum of three vectors determined by the medians of a ...

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  20. Prove that the resultant of two forces acting at point O and repres...

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