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- We mentioned in Section 7.5 that our algebraic treatment of vectors could be attributed, in part, to the Irish mathematician William Rowan Hamilton. Hamilton considered his greatest achievement to be the discovery of qualernions, which he (incorrectly) predicted would revolutionize physics. Research the subject of quaternions. What are they? Why did quaternions fail to be as useful for physics as Hamilton predicted? How are quaternions useful, instead, for 3.D computer graphics? Write a paragraph or two about your findings.Can you help me find the unique vector described in problem 2?I would need some help with problem #46 to find the vectors T, N, and B at the given point, please?
- Need help with these vector problems pleaseIn Problems 23–25, use the vectors u = 2i - 3j + k andv = - i + 3j + 2k.23. Find u * v.24. Find the direction angles for u.25. Find the area of the parallelogram that has u and v asadjacent sides.1.Add the following displacements by the component method. 8.0 ft directed 45º northeast, 12.0ft directed south, and 20.0 ft directed 45º South of West. 2.Find the scalar product of two vectors A=4i+3j and B =5i-2j. 3Find the Angle between Vectors given in problem 2. 4.Find the vector product of vectors given in problem 2. 5.What is the Magnitude of the vector product in problem 9.
- In Problem,write the vector v in the form ai +bj , given its magnitude ||v|| and the angle it makes with the positive x-axis.Vector Analysis. Problem 1.18 only. Thanks!In Problems 31–35, use the vectors v = - 2i + j and w = 4i - 3j to find: 31. v + w 32. 4v - 3w 33. || v || 34. || v || + || w || 35. Find a unit vector in the same direction as v.