172. Consider vectors u = 2i + 4j and v = 4j + 2k. a. Find...

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172. Consider vectors u = 2i + 4j and v = 4j + 2k. a. Find the component form of vector w = proj, v that represents the projection of v onto u. b. Write the decomposition v=w+q of vector v into the orthogonal components w and q, where w is the projection of v onto u and q is a vector orthogonal to the direction of u. 172. Consider vectors u = 2i + 4j and v = 4j + 2k. a. Find the component form of vector w = proj, v that represents the projection of v onto u. b. Write the decomposition v=w+q of vector v into the orthogonal components w and q, where w is the projection of v onto u and q is a vector orthogonal to the direction of u.