USING THE CONCECTS OF VECTOR ALGEBRA, FIND THE DOT PRODUCT BETWEEN TWO VECTORS 5x+4y+Z AND x-3y +5z.
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- 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.)Describe all of the operations involved in (à b)(a c)-2à· (b × c) Explain whether the final result will be a scalar or a vector.Illustrate and explain how to compute the vector product of two vectors.
- Find solutions for vectorsSolve for the vector x in terms of the vectors a and b. (If needed, use BOLD vector form on calcPad Vector menu.) - b = 8(x + a) 3(3a - b) X = x + 3aExpress the vector - 6i+ 6j + 7k as a product of its length and direction. - 6i + 6j + 7k =Oi+ (Di+ ()k] (Simplify your answers. Use integers or fractions for any numbers in the expression.)