A 74 N weight is suspended by two ropes that make angles of 55° and 75° with the ceiling. Resolve the tension in each rope using cartesian vectors ONLY. Round components to the nearest hundredth (2 decimal places). Your answer should look like this: [11.11,22.22] A/ A

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.