4. If two vectors ? = 4? + 6? − 8? and ? = 6? − 8? + 4? are added together describe the characteristics of the resulting
vector.
5. For the two vectors ? = 4? + 6? − 8? and ? = 6? − 8? + 4? of example 11, (a) determine the components of vector P in
the direction of F; (b) the components of vector P in the direction of F; (b) the components of vector f in the direction of P
6. Given two vectors ? = 4? + 6? − 8? and ? = 6? − 8? + ?. Describe the vectors obtained from ? ? ? and
? ? ?.
7. Repeat example 6 using vector analysis.
8. Determine the length of the common perpendicular distance between two lines in space, the first line passing through
points A(24, 0, 0) and B(0, 8, 12), the second line passing through points C(16, -6, 0) and D(0, 0, 12).
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