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15 H2 l components I .u projection The vector. drawn as a blue arrow, has components V1.1? and Vr. Notice that not al! the components
15 H2 l components I .u projection The vector. drawn as a blue arrow, has components V1.1?\" and Vr. Notice that not al! the components are positive. and that ifyou add up all three components using head-to-tail addition. you arrive back at the original vector. Let's consider a more concrete example of a position vector measured in meters. 1% = (2 III}; + (l m}j + (3 m. a. Attempt to sketch it from a 'perspective VIEW' that show-s all three dimensions simultaneously [like the above example]. This type of figure is intended to give the viewer a CD impression of the vector using a 2D drawing. Sketching components also helps the viewer orient the vector in the 3D relerence system b. Attempt to sketch the vector from two different 20 perspectives. with either the zaxis pointing out of the page or the :c-axis pointing out at the page. This type or figure gives the Viewer 3 20 projection of the vector on a single plane [e.g. on the eggplant? or the yziplane onlyi. Examples 0! this perspective can be tound in problem inherit the vectors were shown in the avg-plane, with the Zraxis directed out of the page. Note that in 20 such projections are complete representations or the vector, but In SD. we lose information about one of the directions when employing such projections. 1:. Calculate the magnitude off! d. Calculate the angle that it makes with the ins. ykaxis. and We; is; one angle hr each axis)
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