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  3. 2 u u are nonparallel vectors in r3 write out...

Question: 2 u u are nonparallel vectors in r3 write out...

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2. u,, u are non-parallel vectors in R3. Write out the expression for the following objects using only vector operations (vector addition, scalar multiplication, dot and cross products). Magnitude, or absolute value can be used as appropriate. (a) area of parallelogram formed by u and i. (b) volume of the parallelpiped formed by u, i and w. (c) work effected by force o, with displacement vector ti. (d) a vector perpendicular to both u and v (e) a vector parallel to w. (f) the orthogonal projection of onto u. (g) a vector parallel to the line of intersection of 2 planes, where the planes are respectively normal to ii and t.
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