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Properties of Dot Product
u→ • (v→ + w→) = u→ • v→ + u→ • w→ (cv→) • w→ = v→ •(cw→) = c (v→•w→)
v→ • w→ = w→ • v→ v→ • 0→ = 0
v→ • v→ = ||v→||2 if v→•v→ = 0 then v→ = 0→
Standard Basis Vectors The vector that is, i = (1, 0,0) is called a standard basis vector. In three dimensional (3D) space there are three standard basis vectors, i → = (1
Take the carburizing of a steel bar to make a hard surface. To obtain the desired hardness, we require to control the diffusion of carbon into the surface and the phases obtained d
A worker retires with a lump sum superannuation benefit of $500,000. She immediately invests this money in a fund earning 5% pa effective. One year after retirement she begins maki
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approximate the following problem as a mixed integer program. maximize z=e-x1+x1+(x2+1)2 subject to x12+x2 =0
E1) Create a guessing game for children of Class 2, to familiarise them with the concept of a time interval E2) How could you use group dancing to teach concepts of geometry? Th
how do u add them together?
Calculate the slope of the line: Example: calculate the slope of the line whose equation is y = 2x + 3 and whose y-intercept is (0,3). Solution: y =
Arc Length and Surface Area Revisited We won't be working any instances in this part. This section is here exclusively for the aim of summarizing up all the arc length and su
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