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Given the vectors u (1,2,3) and v (2,2,-1): (a) Determine u v. (b) Determine u + 2v. (c) Write w (-2,2,15) as a linear combination of u and v if possible.
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Given the vectors u = (1, -2,1), v= {5,–4,0) and w = (3,0,-2) (6 points) a) Graph u, v, and was position vectors and label each vector. Show your calculation or justify your reasoning (4 points) b) To the nearest degree, what is the angle between the vectors u and w. (6 points) c) Write the equation of the plane containing the vectors u and w (4 points) d) Determine if the vectors u,...
)Given a 4-node element in x-y plane as shown here: Node X 3 3 1 8 a) Using the shape functions in u-v plane, determine an expression for mapped points from u-v to x-y, i.e. x- x(u, v) and y -y(u, v), for points within the 4-node element in u-v plane. Then, determine value of x and y for a point with (u, v)-(0.3,0.3). (10 points) b) Determine the value of Jacobian matrix, [J], and its determinant for such mapping...
For u = (5,-4) and v= (-1, 2) find u•v.
A25. Given ∆U/∆x = ∆V/∆x = (5 m s–1) / (500 km), find the divergence, vorticity, and total deformation for (∆U/∆y , ∆V/∆y) in units of (m s–1)/(500 km) as given below: a. (–5, –5) d. (0, 0) f. (5, 0) h. (–5, 5) i. (5, –5)
Consider the equation 1/u + 1/v = 1/f Given that the measured values of u and v are u = 0.29 ± 0.02 and v = 0.65 ± 0.03 calculate the greatest possible error in estimating f.
Question 7 Given vectors u = <2, 1> and v= <3,4> to compute (a) u + v (b) - (c) u-30
a. Determine the missing properties (v, u, h)for water (H20) for the state given. Show your calculations for each case T= 123.97 oC ; P = 900 kPa Determine the missing properties (T, u, h) for Refrigerant R-134a for the state given. P = 104 psia; v = 0.012 ft^3/lbm
1/5 POINTS PREVIOUS ANSWERS LARAT10 8.3.011. Determine whether u and v are equivalent. Explain. Vector Initial Point Terminal Point U (2, 2) (-1,6) (-3,-1) (-7, 2) Determine the magnitude and slope of each vector. ||0|| = || V || = slope, slopey = Interpret your results. Ou and have the same magnitude and direction so they are equivalent. u and v have the same magnitude but not the same direction so they are not equivalent. u and v have the...
Sketch S and compute integral of ω where
S is the oriented surface given by the parametrization Ф(u, v) (11+1, 112-r ,in) and (u, v) [0.1]х [0,1]
S is the oriented surface given by the parametrization Ф(u, v) (11+1, 112-r ,in) and (u, v) [0.1]х [0,1]