Do the points lie on the same line? Do the points (0, -6), (-3,-15) and (2,0)...
Consider the line x (1,3,2) + t(-1,5,-2) Decide which of the following points lie on the line. (There may be more than one.) a) (1,3,2) (1,5,-2) (0, 8, 0) (2,-2,5) b) Which of the following vectors are perpendicular to the line? (There may be more than one.) (2,0,-1) (10,2,0) (3, 4,2) (0,2,5)
6. + -/2 points SerCP10 6.C2.002. My No (a) If two objects collide and one is initially at rest, is it possible for both to be at rest after the collision? Yes Ο Νο Explain. This answer has not been graded yet. (b) If two objects collide and one is initially at rest, is it possible for only one to be at rest after the collision? Yes Ο Νο Explain. This answer has not been graded yet. 6. -/2 points...
It is given that the vectors ū = [11,0, 6] and ✓ = (-2,0,–27) lie in a linear subspace W of R'. It follows that, also ū = 29, 0, -36) lies in W. This can be seen by writing was a linear combination of ū and V. Determine the numbers x and y so û = x ·ū+y. V. Give your answer in the form x = a 1y=b for two numbers a and b.
(2 points) Find the least-squares regression line y = bo +b x through the points (-2,0), (2,9), (6, 13), (8, 20), (10,27). For what value of x is 9 = 0?
Verify that the points are the vertices of a parallelogram, and then find its area. (1, 1, 1), (4, 3, 2), (5, 6, 2), (8, 8, 3) STEP 1: Compute the following two vectors. (4,3, 2) - (1, 1, 1) = (8,8, 3) – (5, 6, 2) = Are these two vectors equal? 0 Yes Ο Νο STEP 2: Compute the following two vectors. (5, 6, 2) - (1, 1, 1) = (8, 8, 3) - (4, 3, 2) =...
6.If all the points in a scatter diagram lie on the least squares regression line, then the coefficient of correlation must be: 1.0 -1.0 either 1.0 or -1.0 0.0 b. A regression analysis between sales (in $1,000) and advertising (in $1,000) resulted in the following least square line: ý = 80 + 5x. This implies that: as advertising increases by $1,000, sales increases by $5,000. as advertising increases by $1,000, sales increases by $80,000. as advertising increases by $5, sales...
Determine the intersection of the line through the points (1,−2,13) and (2,0,−5) with linegivenby(alb,c)=(2+4d,−1−d,3), d is element of any R.
LarPCalc8 8.1.012 45 points 1. Determine the order of the matrix. 47 15 0 -1 0 3 3 6 7 -3 1 O-15 points LarPCalc8 8.1.020. 2. Write the augmented matrix for the system of linear equations. {Sx 4y-2z 24 -21y +8z -3 8x + O-15 points LarPCalc8 8.1.022 My Nete 3. Write the system of linear equations represented by the augmented matrix. (Use the variables x, y, z, and w, if applicable.) 7 -5-4 3 39 8 O-5 points...
(6 points) Let C be the curve which is the union of two line segments, the first going from (0, 0) to (-2, 3) and the second going from (-2, 3) to (-4, 0) Compute the line integral-2dy - 3dx.
(6 points) Let C be the curve which is the union of two line segments, the first going from (0, 0) to (-2, 3) and the second going from (-2, 3) to (-4, 0) Compute the line integral-2dy - 3dx.
(1 point) Find the least-squares regression line ý = b + b 2 through the points (-2,0), (1,7), (6, 15), (7, 20), (9, 24). For what value of I is ŷ = 0?