Let u = (-10, 2, 2, 9) and v = (-8, 4, 2, -2). Find ||u...

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Let u = (-10, 2, 2, 9) and v = (-8, 4, 2, -2). Find ||u - proju||. Note: You can partially check your work by first calculating proj,u, and then verifying that the vectors proj u and u proju are orthogonal. Consider the following vectors u, v, w, and z (which you can copy and paste directly into Matlab). = [-0.7 4.3 5.4], v = [-0.3 9.3 5.3], W = [-4.8 -7.3 4.3], [7.4 -7 6.7] Find the determinant of the following matrix. u Z = u. W u. Z V. W V Z To check your work, you can also calculate the following quantity: (u ×v) · (w× z). This quantity, and the determinant of the above matrix, must always be equal. Let u = (-10, 2, 2, 9) and v = (-8, 4, 2, -2). Find ||u - proju||. Note: You can partially check your work by first calculating proj,u, and then verifying that the vectors proj u and u proju are orthogonal. Consider the following vectors u, v, w, and z (which you can copy and paste directly into Matlab). = [-0.7 4.3 5.4], v = [-0.3 9.3 5.3], W = [-4.8 -7.3 4.3], [7.4 -7 6.7] Find the determinant of the following matrix. u Z = u. W u. Z V. W V Z To check your work, you can also calculate the following quantity: (u ×v) · (w× z). This quantity, and the determinant of the above matrix, must always be equal.