Apply the Gram-Schmidt orthonormalization process to transform the given basis for R" into an orthonormal basis. Use the vectors in the order in which they are given. B = {(15, 8), (1, 0)} u2 =

You are given the following vectors in terms of their components in the i, j, k basis: A = 11+1j+2k B = 11+-1j+2k C=0i+1j+-1k Use this set of vectors to construct a set of orthonormal basis vectors. To enter unit vectors, select "Vectors" on the PhysPad that opens when you click on the answer box. Select the "hat" and enter i, j, or k in the provided space using the buttons on the PhysPad. Once entered, you have to hit the right-arrow key or tab to move the cursor out from under the hat. If you do it incorrectly you will see the hat out of position over the vector. Please review your answer before submission. Take the first vector to be in the direction of A. V₁ = Take the second vector to be in the A-B plane. V₂ = 1 + 2/ V3 = i + 0} − k - √5 31 The third vector should be perpendicular to the A-B plane in a right-handed sense.

Write v as the sum of two vectors, one in Span (u,} and one in Span (u2.u3.u4}. Assume that (u,.44) is an orthogonal basis for R*. .... - 1 3 5 5 u2 = - 1 , U3 = 5 v = - 5 - 4 - 5 - 1 ... y = (Type an integer or simplified fraction for each matrix element.)

Calculate r' (t) and T(t) and evaluate T(1). r(t) = (6 + 7t,1², 5 – t²) (Give your answers using component form or standard basis vectors. Express numbers in exact form. Use symbolic notation and fractions where needed.) r'(t) = (7,2t,–2t) 7 -2t T(t) = V49 + 8? V49 + 8? Va9 + 8? Incorrect

pls solve

Is this orthonormal or just orthogonal? I thought you needed to normalize the vectors (i.e. divide them by their lengths to make them unit vectors) in order to make it an orthonormal basis. Did I make a mistake?