Question: Consider the vectors u = = 2i-j2k and v= ai +2j + 4k, where a is a real number. (a) Calculate the direction cosines

Consider the vectors u = = 2i-j2k and v= ai +2j +

Consider the vectors u = = 2i-j2k and v= ai +2j + 4k, where a is a real number. (a) Calculate the direction cosines of u. (b) State the value of a such that u and v are parallel. (c) State the value of a such that u and v are perpendicular. (d) State the value of a that will minimise |v| (e) Set a 2. Find the vector components of u that are parallel and perpendicular to v.

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