A Middle English Reader and Vocabulary by Kenneth Sisam, J. R. R. Tolkien

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By Kenneth Sisam, J. R. R. Tolkien

This hugely revered anthology of medieval English literature gains various well-chosen extracts of poetry and prose, including popular stories from Arthurian legend and classical mythology, in addition to the allegorical poem "Piers Plowman" and John Wycliffe's translation of the Bible. comprises notes on every one extract, appendices, and an intensive thesaurus through J. R. R. Tolkien.

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2 (Objectives 1-11) Consider the displacement BA of the point A(3,--6,-2) from the point B(6,9,-I). Determine the x-, y- and z-components of BA and write down the ordered triple representing BA. 11). The x-component ofBA is (BA)x = 3 - 6 = -3, the y~omponent is (BA)y = --6 - 9 = -15 and (BA)z = -2 - (-1) = -1. The ordered uiple representation is therefore BA = (-3, -15, -1). 37 shows some vectors drawn as arrows in the x-y plane. Express the vectors c, d, u and v as linear combinations of the unit vectors i andj.

The point P is obtained by dropping a perpendicular from the end point of a onto the line of b. The length OP = Ia Icosa is the projection of vector a onto vector b. We often refer to this as the projection of a onto the direction of b or onto the unit vector. 6. Note that the projection of a onto b depends on the direction but not the magnitude of b. 1b and c. If you have studied mechanics you may have come across projections in the context of the work done by a force. 2 shows a force F applied to a body which undergoes a displacement s.

Write down two equations expressing the relationship between (i) the northerly components of these velocities, (ii) the easterly components. 48 The four forces are in equilibrium. 44 Vector algebra 1: Scaling and adding vectors Use these two equations and the known direction of v to show that the pilot should follow a compass bearing of a. degrees west of north where a. satisfies the equation cosa. - sina. = 1/8. (b) Given that this equation is equivalent to sin(45° - a. 0 ) determine a.. 8 (Objectives 4,6) Given that the masses of the Earth and the Moon 24 22.

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