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- Find unit vector parallel to u = (2, -3, 2)Find a unit vector u in the direction of v. Verify that llull=1 v=(-5,-3)The unit vector (1,0,0) is initially on the x-axis. If it is rotated in the positive xz direction by the alpha angle and at the same time rotated in the positive xy direction by the beta angle, how is the new vector defined?
- find a vector parametrization for the line with thegiven description. Passes through (1, 1, 1) parallel to the line through (2, 0, −1) and(4, 1, 3)Find projection of vector (0,1,0) into the line spanned by (0,1,0)Find a unit vector n that is normal to the surface 2z^2−x^4−y^4=1 at P=(1,2,3) that points in the direction of the xy-plane (in other words, if you travel in the direction of n, you will eventually cross the xy-plane).
- This is a question from vectors in my calculus and vectors coarseLet(vector u)=(-2,-3), (vector v=(-3,-5) and vector w=(-2,-3). Find the vector x that satisfies 6u-v+x=6x+wIn this case, vector x=?I appreciate the help in avanceFind a vector that is perpendicular to the graph off (x, y) = 3 + 3x−y at (x, y).