Suppose we wish to find the coordinate vector of w = -31 4 3 -1 relative to the basis S = { [10]-3 1. What system of equations must be solved to find that vector? 2. And what is (w)s = W1 + W1 W₂ W2 = || =
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A: from the graph it is clear that at x= -1 y= -1
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- Find the vector X (in standard coordinates) determined by the given coordinate vector [X] B and the given basis B. 3 -2 {³}]} =[3³] B - 5 Enter the answer only (don't type your work here), using the equation editor. B =Graph the two vectors x= (5, 1,3) and y=(-1,3,11. Determine whether the points A(3,4,-1) and B(1,-1,0) lie on the line with vector equation =++*+(2 +3/-24).
- Find the vector equation of a line L going through the point P = (-5, -6) and parallel to the line generated by multiples of the vector v = --HA 1 L(t) - +tQ2. ()- Work out a - 2b as a column vector.A direction vector for a line is any vector that joins two points on that line. Find a 8. It is not certain that you and your classmates will get direction vector for 2x + 5y exactly the same answer. How should your answers be related, however?
- Solve for the vector x in terms of the vectors a and b. (If needed, use BOLD vector form on calcPad Vector menu.) x + 4a - b = 4(x + a) - (2a - b) X =Find the vector equation of the line(a) through the point (1, −5) and parallel to the x-axis;(b) through (2, 1) and (−3, 8);(c) through the point (2, −8) and with gradient −4/5;(d) through (6, −3) and parallel to the line through (5, −1) and(2, 11);(e) through (1, −1) and parallel to the median from A of thetriangle A(2, 3), B(6, 1), C(7, 3).4. (a) Determine if the four points P1: (1,1,- 2), P2: (4,0,- 3) P3 :(1,-5,10), and P4 : (-7,2, 4) lie on the same plane. (b)Two vectors are parallel if and only if they are nonzero scalar multiple of each other's. Find a vector ( b )that is parallel to a = 3i + 7j and has magnitude 2.
- Find the image of the vector = (1, 2) by rotating it 30° counter-clockwise and scaling it by a factor of 4. Select all answers that are correct. O 2sqrt(3)-4 is the first component O 2+4sqrt(3) is the second component O 2sqrt(3)-4 is the second component O 2+4sqrt(3) is the first component none of these abovePLS DO FAST.. I WILL GIVE LIKE FOR SURE SOLUTION MUST BE IN TYPED FORM. There is a solution at the back of the textbook, Vector Calculus, by P.C. Matthews, but the explanation for getting the coefficients alpha, beta, gamma is not well explained. How do you derive the coefficients? These were the coefficients the author wrote down.