Find a basis for the orthognonal complement of U = span 1 -1 -2 -2 -1 3 2 Number of Vectors: 1 0 Basis for U:0 0 0 4 0
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- Draw a vector diagram to show the resultant of each pair of vectors. Express the resultant in component form.An engineer is building experimental, dome-shaped living quarters 250 m high and modeled by the function z = 250-8x²-6y2. She wants to bolt a flat solar panel to the dome at the point (2, 6, 2). Find the vector of the direction in which the engineer should drill. (Give your answer using component form or standard basis vectors. Express numbers in exact form. Use symbolic notation and fractions where needed.)Find a basis for R^4 that includes these two vectors.